Extensions 1→N→G→Q→1 with N=C2xC4 and Q=S3xC10

Direct product G=NxQ with N=C2xC4 and Q=S3xC10
dρLabelID
S3xC22xC20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C2xC4 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
(C2xC4):1(S3xC10) = C5xD6:D4φ: S3xC10/C15C22 ⊆ Aut C2xC4120(C2xC4):1(S3xC10)480,761
(C2xC4):2(S3xC10) = C5xC23:2D6φ: S3xC10/C15C22 ⊆ Aut C2xC4120(C2xC4):2(S3xC10)480,816
(C2xC4):3(S3xC10) = C5xD4:6D6φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4):3(S3xC10)480,1156
(C2xC4):4(S3xC10) = C5xD4oD12φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4):4(S3xC10)480,1161
(C2xC4):5(S3xC10) = C5xS3xC22:C4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4120(C2xC4):5(S3xC10)480,759
(C2xC4):6(S3xC10) = S3xD4xC10φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4120(C2xC4):6(S3xC10)480,1154
(C2xC4):7(S3xC10) = C5xS3xC4oD4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC41204(C2xC4):7(S3xC10)480,1160
(C2xC4):8(S3xC10) = C10xD6:C4φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4):8(S3xC10)480,806
(C2xC4):9(S3xC10) = C2xC10xD12φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4):9(S3xC10)480,1152
(C2xC4):10(S3xC10) = C10xC4oD12φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4):10(S3xC10)480,1153

Non-split extensions G=N.Q with N=C2xC4 and Q=S3xC10
extensionφ:Q→Aut NdρLabelID
(C2xC4).1(S3xC10) = C5xC12.46D4φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4).1(S3xC10)480,142
(C2xC4).2(S3xC10) = C5xC12.47D4φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).2(S3xC10)480,143
(C2xC4).3(S3xC10) = C5xC12.D4φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4).3(S3xC10)480,152
(C2xC4).4(S3xC10) = C5xC12.10D4φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).4(S3xC10)480,155
(C2xC4).5(S3xC10) = C5xDic3.D4φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).5(S3xC10)480,757
(C2xC4).6(S3xC10) = C5xC23.9D6φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).6(S3xC10)480,762
(C2xC4).7(S3xC10) = C5xC23.11D6φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).7(S3xC10)480,764
(C2xC4).8(S3xC10) = C5xC23.21D6φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).8(S3xC10)480,765
(C2xC4).9(S3xC10) = C5xDic3.Q8φ: S3xC10/C15C22 ⊆ Aut C2xC4480(C2xC4).9(S3xC10)480,768
(C2xC4).10(S3xC10) = C5xD6.D4φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).10(S3xC10)480,773
(C2xC4).11(S3xC10) = C5xC12:D4φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).11(S3xC10)480,774
(C2xC4).12(S3xC10) = C5xC4.D12φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).12(S3xC10)480,776
(C2xC4).13(S3xC10) = C5xC8:D6φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4).13(S3xC10)480,787
(C2xC4).14(S3xC10) = C5xC8.D6φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).14(S3xC10)480,788
(C2xC4).15(S3xC10) = C5xD12:6C22φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4).15(S3xC10)480,811
(C2xC4).16(S3xC10) = C5xC23.23D6φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).16(S3xC10)480,814
(C2xC4).17(S3xC10) = C5xC23.14D6φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).17(S3xC10)480,818
(C2xC4).18(S3xC10) = C5xQ8.11D6φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).18(S3xC10)480,821
(C2xC4).19(S3xC10) = C5xD6:3Q8φ: S3xC10/C15C22 ⊆ Aut C2xC4240(C2xC4).19(S3xC10)480,825
(C2xC4).20(S3xC10) = C5xD4:D6φ: S3xC10/C15C22 ⊆ Aut C2xC41204(C2xC4).20(S3xC10)480,828
(C2xC4).21(S3xC10) = C5xQ8.14D6φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).21(S3xC10)480,830
(C2xC4).22(S3xC10) = C5xQ8.15D6φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).22(S3xC10)480,1159
(C2xC4).23(S3xC10) = C5xQ8oD12φ: S3xC10/C15C22 ⊆ Aut C2xC42404(C2xC4).23(S3xC10)480,1162
(C2xC4).24(S3xC10) = C5xC23.16D6φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).24(S3xC10)480,756
(C2xC4).25(S3xC10) = C5xC23.8D6φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).25(S3xC10)480,758
(C2xC4).26(S3xC10) = C5xDic3:4D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).26(S3xC10)480,760
(C2xC4).27(S3xC10) = C5xDic3:D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).27(S3xC10)480,763
(C2xC4).28(S3xC10) = C5xS3xC4:C4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).28(S3xC10)480,770
(C2xC4).29(S3xC10) = C5xC4:C4:7S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).29(S3xC10)480,771
(C2xC4).30(S3xC10) = C5xD6:Q8φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).30(S3xC10)480,775
(C2xC4).31(S3xC10) = C5xC4:C4:S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).31(S3xC10)480,777
(C2xC4).32(S3xC10) = C5xC6.Q16φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).32(S3xC10)480,126
(C2xC4).33(S3xC10) = C5xC12.Q8φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).33(S3xC10)480,127
(C2xC4).34(S3xC10) = C5xC6.D8φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).34(S3xC10)480,128
(C2xC4).35(S3xC10) = C5xC6.SD16φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).35(S3xC10)480,129
(C2xC4).36(S3xC10) = C5xC12.53D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC42404(C2xC4).36(S3xC10)480,141
(C2xC4).37(S3xC10) = C5xD12:C4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC41204(C2xC4).37(S3xC10)480,144
(C2xC4).38(S3xC10) = C5xD4:Dic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).38(S3xC10)480,151
(C2xC4).39(S3xC10) = C5xQ8:2Dic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).39(S3xC10)480,154
(C2xC4).40(S3xC10) = C5xQ8:3Dic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC41204(C2xC4).40(S3xC10)480,156
(C2xC4).41(S3xC10) = C5xDic6:C4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).41(S3xC10)480,766
(C2xC4).42(S3xC10) = C5xC12:Q8φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).42(S3xC10)480,767
(C2xC4).43(S3xC10) = C5xC4.Dic6φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).43(S3xC10)480,769
(C2xC4).44(S3xC10) = C5xDic3:5D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).44(S3xC10)480,772
(C2xC4).45(S3xC10) = C5xS3xM4(2)φ: S3xC10/C5xS3C2 ⊆ Aut C2xC41204(C2xC4).45(S3xC10)480,785
(C2xC4).46(S3xC10) = C5xD12.C4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC42404(C2xC4).46(S3xC10)480,786
(C2xC4).47(S3xC10) = C10xD4:S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).47(S3xC10)480,810
(C2xC4).48(S3xC10) = C10xD4.S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).48(S3xC10)480,812
(C2xC4).49(S3xC10) = C5xD4xDic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).49(S3xC10)480,813
(C2xC4).50(S3xC10) = C5xC23.12D6φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).50(S3xC10)480,815
(C2xC4).51(S3xC10) = C5xD6:3D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).51(S3xC10)480,817
(C2xC4).52(S3xC10) = C5xC12:3D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).52(S3xC10)480,819
(C2xC4).53(S3xC10) = C10xQ8:2S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).53(S3xC10)480,820
(C2xC4).54(S3xC10) = C10xC3:Q16φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).54(S3xC10)480,822
(C2xC4).55(S3xC10) = C5xDic3:Q8φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).55(S3xC10)480,823
(C2xC4).56(S3xC10) = C5xQ8xDic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4480(C2xC4).56(S3xC10)480,824
(C2xC4).57(S3xC10) = C5xC12.23D4φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).57(S3xC10)480,826
(C2xC4).58(S3xC10) = C5xD4.Dic3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC42404(C2xC4).58(S3xC10)480,827
(C2xC4).59(S3xC10) = C5xQ8.13D6φ: S3xC10/C5xS3C2 ⊆ Aut C2xC42404(C2xC4).59(S3xC10)480,829
(C2xC4).60(S3xC10) = C10xD4:2S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).60(S3xC10)480,1155
(C2xC4).61(S3xC10) = S3xQ8xC10φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).61(S3xC10)480,1157
(C2xC4).62(S3xC10) = C10xQ8:3S3φ: S3xC10/C5xS3C2 ⊆ Aut C2xC4240(C2xC4).62(S3xC10)480,1158
(C2xC4).63(S3xC10) = C5xC12.6Q8φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).63(S3xC10)480,749
(C2xC4).64(S3xC10) = C5xC42:2S3φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).64(S3xC10)480,751
(C2xC4).65(S3xC10) = C5xC42:7S3φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).65(S3xC10)480,754
(C2xC4).66(S3xC10) = C5xC42:3S3φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).66(S3xC10)480,755
(C2xC4).67(S3xC10) = C10xDic3:C4φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).67(S3xC10)480,802
(C2xC4).68(S3xC10) = C5xC23.28D6φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).68(S3xC10)480,808
(C2xC4).69(S3xC10) = C5xC42:4S3φ: S3xC10/C30C2 ⊆ Aut C2xC41202(C2xC4).69(S3xC10)480,124
(C2xC4).70(S3xC10) = C5xC2.Dic12φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).70(S3xC10)480,135
(C2xC4).71(S3xC10) = C5xC8:Dic3φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).71(S3xC10)480,136
(C2xC4).72(S3xC10) = C5xC24:1C4φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).72(S3xC10)480,137
(C2xC4).73(S3xC10) = C5xC24.C4φ: S3xC10/C30C2 ⊆ Aut C2xC42402(C2xC4).73(S3xC10)480,138
(C2xC4).74(S3xC10) = C5xC2.D24φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).74(S3xC10)480,140
(C2xC4).75(S3xC10) = C20xDic6φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).75(S3xC10)480,747
(C2xC4).76(S3xC10) = C5xC12:2Q8φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).76(S3xC10)480,748
(C2xC4).77(S3xC10) = C20xD12φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).77(S3xC10)480,752
(C2xC4).78(S3xC10) = C5xC4:D12φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).78(S3xC10)480,753
(C2xC4).79(S3xC10) = C5xC8oD12φ: S3xC10/C30C2 ⊆ Aut C2xC42402(C2xC4).79(S3xC10)480,780
(C2xC4).80(S3xC10) = C10xC24:C2φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).80(S3xC10)480,781
(C2xC4).81(S3xC10) = C10xD24φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).81(S3xC10)480,782
(C2xC4).82(S3xC10) = C5xC4oD24φ: S3xC10/C30C2 ⊆ Aut C2xC42402(C2xC4).82(S3xC10)480,783
(C2xC4).83(S3xC10) = C10xDic12φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).83(S3xC10)480,784
(C2xC4).84(S3xC10) = C10xC4.Dic3φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).84(S3xC10)480,800
(C2xC4).85(S3xC10) = C5xC12.48D4φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).85(S3xC10)480,803
(C2xC4).86(S3xC10) = C10xC4:Dic3φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).86(S3xC10)480,804
(C2xC4).87(S3xC10) = C5xC12:7D4φ: S3xC10/C30C2 ⊆ Aut C2xC4240(C2xC4).87(S3xC10)480,809
(C2xC4).88(S3xC10) = C2xC10xDic6φ: S3xC10/C30C2 ⊆ Aut C2xC4480(C2xC4).88(S3xC10)480,1150
(C2xC4).89(S3xC10) = C20xC3:C8central extension (φ=1)480(C2xC4).89(S3xC10)480,121
(C2xC4).90(S3xC10) = C5xC42.S3central extension (φ=1)480(C2xC4).90(S3xC10)480,122
(C2xC4).91(S3xC10) = C5xC12:C8central extension (φ=1)480(C2xC4).91(S3xC10)480,123
(C2xC4).92(S3xC10) = Dic3xC40central extension (φ=1)480(C2xC4).92(S3xC10)480,132
(C2xC4).93(S3xC10) = C5xDic3:C8central extension (φ=1)480(C2xC4).93(S3xC10)480,133
(C2xC4).94(S3xC10) = C5xC24:C4central extension (φ=1)480(C2xC4).94(S3xC10)480,134
(C2xC4).95(S3xC10) = C5xD6:C8central extension (φ=1)240(C2xC4).95(S3xC10)480,139
(C2xC4).96(S3xC10) = C5xC12.55D4central extension (φ=1)240(C2xC4).96(S3xC10)480,149
(C2xC4).97(S3xC10) = S3xC4xC20central extension (φ=1)240(C2xC4).97(S3xC10)480,750
(C2xC4).98(S3xC10) = S3xC2xC40central extension (φ=1)240(C2xC4).98(S3xC10)480,778
(C2xC4).99(S3xC10) = C10xC8:S3central extension (φ=1)240(C2xC4).99(S3xC10)480,779
(C2xC4).100(S3xC10) = C2xC10xC3:C8central extension (φ=1)480(C2xC4).100(S3xC10)480,799
(C2xC4).101(S3xC10) = Dic3xC2xC20central extension (φ=1)480(C2xC4).101(S3xC10)480,801
(C2xC4).102(S3xC10) = C5xC23.26D6central extension (φ=1)240(C2xC4).102(S3xC10)480,805
(C2xC4).103(S3xC10) = C20xC3:D4central extension (φ=1)240(C2xC4).103(S3xC10)480,807

׿
x
:
Z
F
o
wr
Q
<