162種360階群

gap> NumberSmallGroups(360);

162

gap> for n in [1..162] do G:=SmallGroup(360,n);idn:=IdGroup(G);Print(idn);Print(":");L:=List(Elements(G),Order);;M:=[1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360];;for i in M do Print(Size(Positions(L,i)),","); od;Print("是否可解：",IsSolvableGroup(G),",","是否幂零：",IsNilpotentGroup(G),",","自同構群：",Order(AutomorphismGroup(G)),",",StructureDescription(G),"\n");od;

[ 360, 1 ]:1,1,2,2,4,2,36,6,4,4,8,6,8,0,8,12,144,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：864,C5 x (C9 : C8)

[ 360, 2 ]:1,1,2,2,4,2,20,6,4,4,8,6,8,40,8,12,0,24,16,120,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：480,C9 x (C5 : C8)

[ 360, 3 ]:1,1,2,2,4,2,180,6,4,4,8,6,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：4320,C45 : C8

[ 360, 4 ]:1,1,2,2,4,2,4,6,4,4,8,6,8,8,8,12,16,24,16,24,24,32,48,

96,是否可解：true,是否幂零：true,自同構群：96,C360

[ 360, 5 ]:1,1,2,10,4,2,20,6,4,20,8,6,0,40,8,60,0,24,0,120,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：240,C9 x (C5 : C8)

[ 360, 6 ]:1,1,2,10,4,2,180,6,4,20,8,6,0,0,8,60,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：2160,C45 : C8

[ 360, 7 ]:1,1,2,118,4,2,0,6,4,20,8,6,72,0,8,60,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,C45 : Q8

[ 360, 8 ]:1,19,2,100,4,2,0,6,76,20,8,6,0,0,8,60,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C5 : C4) x D18

[ 360, 9 ]:1,91,2,28,4,2,0,6,4,20,8,6,72,0,8,60,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C5 x (C9 : C4)) : C2

[ 360, 10 ]:1,109,2,10,4,2,0,6,76,20,8,6,0,0,8,60,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C10 x D18) : C2

[ 360, 11 ]:1,11,2,108,4,22,0,6,4,0,8,66,72,0,8,0,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,D10 x (C9 : C4)

[ 360, 12 ]:1,29,2,90,4,22,0,6,76,0,8,66,0,0,8,0,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C18 x D10) : C2

[ 360, 13 ]:1,101,2,18,4,22,0,6,4,0,8,66,72,0,8,0,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C18 x D10) : C2

[ 360, 14 ]:1,1,2,6,4,2,0,24,4,12,8,24,24,0,8,0,0,96,48,0,96,0,0,

0,是否可解：true,是否幂零：false,自同構群：288,C5 x (Q8 : C9)

[ 360, 15 ]:1,1,2,22,4,2,0,6,4,44,8,6,8,0,8,132,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：960,C9 x (C5 : Q8)

[ 360, 16 ]:1,11,2,12,4,22,0,6,4,24,8,66,8,0,8,72,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：480,C36 x D10

[ 360, 17 ]:1,21,2,2,4,42,0,6,4,4,8,126,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：960,C9 x D40

[ 360, 18 ]:1,3,2,20,4,6,0,6,12,40,8,18,0,0,24,120,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C18 x (C5 : C4)

[ 360, 19 ]:1,13,2,10,4,26,0,6,12,20,8,78,0,0,24,60,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：480,C9 x ((C10 x C2) : C2)

[ 360, 20 ]:1,1,2,38,4,2,0,6,4,4,8,6,152,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：1728,C5 x (C9 : Q8)

[ 360, 21 ]:1,19,2,20,4,2,0,6,76,4,8,6,80,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：864,C20 x D18

[ 360, 22 ]:1,37,2,2,4,2,0,6,148,4,8,6,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：1728,C5 x D72

[ 360, 23 ]:1,3,2,36,4,6,0,6,12,0,8,18,144,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：1728,C10 x (C9 : C4)

[ 360, 24 ]:1,21,2,18,4,6,0,6,84,0,8,18,72,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：864,C5 x ((C18 x C2) : C2)

[ 360, 25 ]:1,1,2,182,4,2,0,6,4,4,8,6,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：8640,C45 : Q8

[ 360, 26 ]:1,91,2,92,4,2,0,6,4,4,8,6,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：4320,C4 x D90

[ 360, 27 ]:1,181,2,2,4,2,0,6,4,4,8,6,8,0,8,12,0,24,16,0,24,0,48,

0,是否可解：true,是否幂零：false,自同構群：8640,D360

[ 360, 28 ]:1,3,2,180,4,6,0,6,12,0,8,18,0,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：8640,C2 x (C45 : C4)

[ 360, 29 ]:1,93,2,90,4,6,0,6,12,0,8,18,0,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C90 x C2) : C2

[ 360, 30 ]:1,3,2,4,4,6,0,6,12,8,8,18,16,0,24,24,0,24,32,0,72,0,96,

0,是否可解：true,是否幂零：true,自同構群：192,C180 x C2

[ 360, 31 ]:1,5,2,2,4,10,0,6,20,4,8,30,8,0,40,12,0,24,16,0,120,0,48,

0,是否可解：true,是否幂零：true,自同構群：192,C45 x D8

[ 360, 32 ]:1,1,2,6,4,2,0,6,4,12,8,6,24,0,8,36,0,24,48,0,24,0,144,

0,是否可解：true,是否幂零：true,自同構群：576,C45 x Q8

[ 360, 33 ]:1,1,8,2,4,8,20,0,4,16,32,0,8,160,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：3840,C3 x C3 x (C5 : C8)

[ 360, 34 ]:1,1,8,2,4,8,12,0,4,16,32,0,8,24,32,0,48,0,64,0,0,96,0,

0,是否可解：true,是否幂零：false,自同構群：192,C15 x (C3 : C8)

[ 360, 35 ]:1,1,8,2,4,8,60,0,4,16,32,0,8,120,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x (C15 : C8)

[ 360, 36 ]:1,1,8,2,4,8,36,0,4,16,32,0,8,0,32,0,144,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：6912,C5 x ((C3 x C3) : C8)

[ 360, 37 ]:1,1,8,2,4,8,180,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C15 x C3) : C8

[ 360, 38 ]:1,1,8,2,4,8,4,0,4,16,32,0,8,32,32,0,16,0,64,0,0,128,0,

0,是否可解：true,是否幂零：true,自同構群：768,C120 x C3

[ 360, 39 ]:1,59,2,100,4,10,0,6,36,20,8,30,0,0,0,60,0,24,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1080,(C5 : C4) x D18

[ 360, 40 ]:1,21,2,18,4,6,0,24,84,0,8,0,72,0,24,0,0,96,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：864,C5 x (((C2 x C2) : C9) : C2)

[ 360, 41 ]:1,93,2,90,4,6,0,24,12,0,8,0,0,0,24,0,0,96,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,(C5 x ((C2 x C2) : C9)) : C2

[ 360, 42 ]:1,23,2,0,4,46,0,24,12,0,8,120,0,0,24,0,0,96,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1440,((C2 x C2) : C9) x D10

[ 360, 43 ]:1,11,2,20,4,22,0,6,4,40,8,66,0,0,8,120,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：240,C18 x (C5 : C4)

[ 360, 44 ]:1,11,2,180,4,22,0,6,4,0,8,66,0,0,8,0,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：2160,C2 x (C45 : C4)

[ 360, 45 ]:1,119,2,0,4,22,0,6,76,0,8,66,0,0,8,0,0,24,0,0,24,0,0,

0,是否可解：true,是否幂零：false,自同構群：4320,C2 x D10 x D18

[ 360, 46 ]:1,7,2,0,4,14,0,24,28,0,8,24,0,0,56,0,0,96,0,0,96,0,0,

0,是否可解：true,是否幂零：false,自同構群：288,C10 x ((C2 x C2) : C9)

[ 360, 47 ]:1,23,2,0,4,46,0,6,12,0,8,138,0,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,C2 x C18 x D10

[ 360, 48 ]:1,39,2,0,4,6,0,6,156,0,8,18,0,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：5184,C2 x C10 x D18

[ 360, 49 ]:1,183,2,0,4,6,0,6,12,0,8,18,0,0,24,0,0,24,0,0,72,0,0,

0,是否可解：true,是否幂零：false,自同構群：25920,C2 x C2 x D90

[ 360, 50 ]:1,7,2,0,4,14,0,6,28,0,8,42,0,0,56,0,0,24,0,0,168,0,0,

0,是否可解：true,是否幂零：true,自同構群：4032,C90 x C2 x C2

[ 360, 51 ]:1,1,62,30,24,62,0,0,24,60,48,0,0,0,48,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：240,C3 x SL(2,5)

[ 360, 52 ]:1,1,8,10,4,8,20,0,4,80,32,0,0,160,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1920,C3 x C3 x (C5 : C8)

[ 360, 53 ]:1,1,8,10,4,8,60,0,4,80,32,0,0,120,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：480,C3 x (C15 : C8)

[ 360, 54 ]:1,1,8,10,4,8,180,0,4,80,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：17280,(C15 x C3) : C8

[ 360, 55 ]:1,1,8,18,4,8,36,0,4,0,32,0,72,0,32,0,144,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C5 x ((C3 x C3) : C8)

[ 360, 56 ]:1,1,8,18,4,8,180,0,4,0,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,(C15 x C3) : C8

[ 360, 57 ]:1,1,8,90,4,8,180,0,4,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x C3) : C8

[ 360, 58 ]:1,11,8,36,4,88,0,0,4,72,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C3 : C4) x D10)

[ 360, 59 ]:1,7,8,40,4,20,0,0,28,140,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x (S3 x (C5 : C4))

[ 360, 60 ]:1,31,8,16,4,68,0,0,4,92,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C5 x (C3 : C4)) : C2)

[ 360, 61 ]:1,17,8,30,4,100,0,0,28,60,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C10 x S3) : C2)

[ 360, 62 ]:1,41,8,6,4,148,0,0,4,12,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C6 x D10) : C2)

[ 360, 63 ]:1,37,8,10,4,80,0,0,28,80,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C10 x S3) : C2)

[ 360, 64 ]:1,1,8,46,4,8,0,0,4,152,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x (C15 : Q8)

[ 360, 65 ]:1,11,8,108,4,88,0,0,4,0,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,((C3 x C3) : C4) x D10

[ 360, 66 ]:1,19,8,100,4,8,0,0,76,80,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,((C3 x C3) : C2) x (C5 : C4)

[ 360, 67 ]:1,91,8,28,4,8,0,0,4,80,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C3 x C3 x (C5 : C4)) : C2

[ 360, 68 ]:1,29,8,90,4,88,0,0,76,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C3 x C6 x D10) : C2

[ 360, 69 ]:1,101,8,18,4,88,0,0,4,0,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C3 x C6 x D10) : C2

[ 360, 70 ]:1,109,8,10,4,8,0,0,76,80,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C3 x C3 x (C5 : C4)) : C2

[ 360, 71 ]:1,1,8,118,4,8,0,0,4,80,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C15 x C3) : Q8

[ 360, 72 ]:1,7,8,24,4,20,0,0,28,12,32,0,96,0,80,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C5 x ((C3 : C4) x S3)

[ 360, 73 ]:1,19,8,12,4,8,0,0,76,24,32,0,48,0,32,0,0,0,96,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C5 x ((C3 x (C3 : C4)) : C2)

[ 360, 74 ]:1,13,8,18,4,32,0,0,52,0,32,0,72,0,128,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C5 x ((C6 x S3) : C2)

[ 360, 75 ]:1,25,8,6,4,20,0,0,100,12,32,0,24,0,80,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C5 x ((C6 x S3) : C2)

[ 360, 76 ]:1,1,8,30,4,8,0,0,4,24,32,0,120,0,32,0,0,0,96,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C5 x ((C3 x C3) : Q8)

[ 360, 77 ]:1,31,8,96,4,68,0,0,4,12,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C3 : C4) x D30

[ 360, 78 ]:1,7,8,120,4,20,0,0,28,60,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,S3 x (C15 : C4)

[ 360, 79 ]:1,91,8,36,4,8,0,0,4,72,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x (C3 : C4)) : C2

[ 360, 80 ]:1,37,8,90,4,80,0,0,28,0,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C30 x S3) : C2

[ 360, 81 ]:1,121,8,6,4,68,0,0,4,12,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x (C3 : C4)) : C2

[ 360, 82 ]:1,97,8,30,4,20,0,0,28,60,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C30 x S3) : C2

[ 360, 83 ]:1,1,8,126,4,8,0,0,4,72,32,0,24,0,32,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x C3) : Q8

[ 360, 84 ]:1,31,8,48,4,68,0,0,4,60,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C5 x ((C3 x C3) : C4)) : C2

[ 360, 85 ]:1,19,8,60,4,8,0,0,76,120,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,(C3 x (C15 : C4)) : C2

[ 360, 86 ]:1,49,8,30,4,68,0,0,76,60,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C10 x ((C3 x C3) : C2)) : C2

[ 360, 87 ]:1,61,8,18,4,128,0,0,4,0,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,(C6 x D30) : C2

[ 360, 88 ]:1,1,8,78,4,8,0,0,4,120,32,0,72,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,(C15 x C3) : Q8

[ 360, 89 ]:1,1,26,6,4,26,0,0,4,12,104,0,24,0,104,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C15 x SL(2,3)

[ 360, 90 ]:1,1,8,22,4,8,0,0,4,176,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：7680,C3 x C3 x (C5 : Q8)

[ 360, 91 ]:1,11,8,12,4,88,0,0,4,96,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：3840,C3 x C12 x D10

[ 360, 92 ]:1,21,8,2,4,168,0,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：7680,C3 x C3 x D40

[ 360, 93 ]:1,3,8,20,4,24,0,0,12,160,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：7680,C3 x C6 x (C5 : C4)

[ 360, 94 ]:1,13,8,10,4,104,0,0,12,80,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：3840,C3 x C3 x ((C10 x C2) : C2)

[ 360, 95 ]:1,1,8,14,4,8,0,0,4,40,32,0,56,0,32,0,0,0,160,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：384,C15 x (C3 : Q8)

[ 360, 96 ]:1,7,8,8,4,20,0,0,28,28,32,0,32,0,80,0,0,0,112,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：192,C60 x S3

[ 360, 97 ]:1,13,8,2,4,32,0,0,52,16,32,0,8,0,128,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：384,C15 x D24

[ 360, 98 ]:1,3,8,12,4,24,0,0,12,24,32,0,48,0,96,0,0,0,96,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：384,C30 x (C3 : C4)

[ 360, 99 ]:1,9,8,6,4,36,0,0,36,12,32,0,24,0,144,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：192,C15 x ((C6 x C2) : C2)

[ 360, 100 ]:1,1,8,62,4,8,0,0,4,136,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1920,C3 x (C15 : Q8)

[ 360, 101 ]:1,31,8,32,4,68,0,0,4,76,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C12 x D30

[ 360, 102 ]:1,61,8,2,4,128,0,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1920,C3 x D120

[ 360, 103 ]:1,3,8,60,4,24,0,0,12,120,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1920,C6 x (C15 : C4)

[ 360, 104 ]:1,33,8,30,4,84,0,0,12,60,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C30 x C2) : C2)

[ 360, 105 ]:1,1,8,38,4,8,0,0,4,16,32,0,152,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：13824,C5 x ((C3 x C3) : Q8)

[ 360, 106 ]:1,19,8,20,4,8,0,0,76,16,32,0,80,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：6912,C20 x ((C3 x C3) : C2)

[ 360, 107 ]:1,37,8,2,4,8,0,0,148,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：13824,C5 x ((C12 x C3) : C2)

[ 360, 108 ]:1,3,8,36,4,24,0,0,12,0,32,0,144,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：13824,C10 x ((C3 x C3) : C4)

[ 360, 109 ]:1,21,8,18,4,24,0,0,84,0,32,0,72,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：6912,C5 x ((C6 x C6) : C2)

[ 360, 110 ]:1,1,8,182,4,8,0,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：69120,(C15 x C3) : Q8

[ 360, 111 ]:1,91,8,92,4,8,0,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,C4 x ((C15 x C3) : C2)

[ 360, 112 ]:1,181,8,2,4,8,0,0,4,16,32,0,8,0,32,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：69120,(C60 x C3) : C2

[ 360, 113 ]:1,3,8,180,4,24,0,0,12,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：69120,C2 x ((C15 x C3) : C4)

[ 360, 114 ]:1,93,8,90,4,24,0,0,12,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,(C30 x C6) : C2

[ 360, 115 ]:1,3,8,4,4,24,0,0,12,32,32,0,16,0,96,0,0,0,128,0,0,0,0,

0,是否可解：true,是否幂零：true,自同構群：1536,C60 x C6

[ 360, 116 ]:1,5,8,2,4,40,0,0,20,16,32,0,8,0,160,0,0,0,64,0,0,0,0,

0,是否可解：true,是否幂零：true,自同構群：1536,C3 x C15 x D8

[ 360, 117 ]:1,1,8,6,4,8,0,0,4,48,32,0,24,0,32,0,0,0,192,0,0,0,0,

0,是否可解：true,是否幂零：true,自同構群：4608,C3 x C15 x Q8

[ 360, 118 ]:1,45,80,90,144,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：1440,A6

[ 360, 119 ]:1,25,62,30,24,110,0,0,0,60,48,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：240,C3 x S5

[ 360, 120 ]:1,45,62,90,24,90,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：720,GL(2,4) : C2

[ 360, 121 ]:1,63,62,0,24,90,0,0,72,0,48,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：720,A5 x S3

[ 360, 122 ]:1,31,62,0,24,122,0,0,24,0,48,0,0,0,48,0,0,0,0,0,0,0,0,

0,是否可解：false,是否幂零：false,自同構群：240,C6 x A5

[ 360, 123 ]:1,9,8,18,4,0,36,0,36,0,32,0,72,0,0,0,144,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C5 x ((C3 x C3) : C8)

[ 360, 124 ]:1,9,8,18,4,0,180,0,36,0,32,0,72,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x C3) : C8

[ 360, 125 ]:1,9,8,90,4,0,180,0,36,0,32,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1440,(C15 x C3) : C8

[ 360, 126 ]:1,23,8,40,4,76,0,0,12,140,32,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：240,C3 x (S3 x (C5 : C4))

[ 360, 127 ]:1,59,8,100,4,40,0,0,36,80,32,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：8640,((C3 x C3) : C2) x (C5 : C4)

[ 360, 128 ]:1,23,8,120,4,76,0,0,12,60,32,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：720,S3 x (C15 : C4)

[ 360, 129 ]:1,59,8,60,4,40,0,0,36,120,32,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1440,(C3 x (C15 : C4)) : C2

[ 360, 130 ]:1,59,8,108,4,40,0,0,36,0,32,0,72,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,((C3 x C3) : C4) x D10

[ 360, 131 ]:1,59,8,180,4,40,0,0,36,0,32,0,0,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,((C15 x C3) : C4) : C2

[ 360, 132 ]:1,21,8,18,4,24,0,0,84,0,32,0,72,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C5 x ((S3 x S3) : C2)

[ 360, 133 ]:1,45,8,90,4,72,0,0,60,0,32,0,0,0,48,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1440,(C5 x S3 x S3) : C2

[ 360, 134 ]:1,69,8,18,4,120,0,0,36,0,32,0,72,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C5 x ((C3 x C3) : C4)) : C2

[ 360, 135 ]:1,9,8,54,4,0,0,0,36,0,32,0,216,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1728,C5 x ((C3 x C3) : Q8)

[ 360, 136 ]:1,9,8,198,4,0,0,0,36,0,32,0,72,0,0,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,(C15 x C3) : Q8

[ 360, 137 ]:1,95,8,0,4,112,0,0,60,0,32,0,0,0,48,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1440,S3 x S3 x D10

[ 360, 138 ]:1,9,26,6,4,18,0,0,36,12,104,0,24,0,72,0,0,0,48,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：192,C15 x S4

[ 360, 139 ]:1,33,26,30,4,66,0,0,12,60,104,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C3 x ((C5 x A4) : C2)

[ 360, 140 ]:1,21,26,18,4,6,0,0,84,0,104,0,72,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1728,C5 x ((C3 x A4) : C2)

[ 360, 141 ]:1,93,26,90,4,6,0,0,12,0,104,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：8640,(C15 x A4) : C2

[ 360, 142 ]:1,23,26,0,4,166,0,0,12,0,104,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,C3 x A4 x D10

[ 360, 143 ]:1,15,26,0,4,30,0,0,60,0,104,0,0,0,120,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C5 x A4 x S3

[ 360, 144 ]:1,63,26,0,4,126,0,0,12,0,104,0,0,0,24,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,A4 x D30

[ 360, 145 ]:1,11,8,20,4,88,0,0,4,160,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1920,C3 x C6 x (C5 : C4)

[ 360, 146 ]:1,11,8,60,4,88,0,0,4,120,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：480,C6 x (C15 : C4)

[ 360, 147 ]:1,11,8,180,4,88,0,0,4,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：17280,C2 x ((C15 x C3) : C4)

[ 360, 148 ]:1,19,8,36,4,8,0,0,76,0,32,0,144,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C10 x ((C3 x C3) : C4)

[ 360, 149 ]:1,19,8,180,4,8,0,0,76,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,C2 x ((C15 x C3) : C4)

[ 360, 150 ]:1,91,8,180,4,8,0,0,4,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,C2 x ((C15 x C3) : C4)

[ 360, 151 ]:1,47,8,0,4,160,0,0,28,0,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：960,C6 x S3 x D10

[ 360, 152 ]:1,119,8,0,4,88,0,0,76,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：34560,C2 x (((C3 x C3) : C2) x D10)

[ 360, 153 ]:1,31,8,0,4,32,0,0,124,0,32,0,0,0,128,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C10 x S3 x S3

[ 360, 154 ]:1,127,8,0,4,80,0,0,28,0,32,0,0,0,80,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：2880,C2 x S3 x D30

[ 360, 155 ]:1,79,8,0,4,128,0,0,76,0,32,0,0,0,32,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,C2 x ((C5 x ((C3 x C3) : C2)) : C2)

[ 360, 156 ]:1,7,26,0,4,38,0,0,28,0,104,0,0,0,152,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：576,C30 x A4

[ 360, 157 ]:1,23,8,0,4,184,0,0,12,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：23040,C6 x C6 x D10

[ 360, 158 ]:1,15,8,0,4,48,0,0,60,0,32,0,0,0,192,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：1152,C2 x C30 x S3

[ 360, 159 ]:1,63,8,0,4,144,0,0,12,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：5760,C2 x C6 x D30

[ 360, 160 ]:1,39,8,0,4,24,0,0,156,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：41472,C2 x C10 x ((C3 x C3) : C2)

[ 360, 161 ]:1,183,8,0,4,24,0,0,12,0,32,0,0,0,96,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：false,自同構群：207360,C2 x C2 x ((C15 x C3) : C2)

[ 360, 162 ]:1,7,8,0,4,56,0,0,28,0,32,0,0,0,224,0,0,0,0,0,0,0,0,

0,是否可解：true,是否幂零：true,自同構群：32256,C30 x C6 x C2