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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C6×D5

Direct product G=N×Q with N=C2×C4 and Q=C6×D5
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=C2×C4 and Q=C6×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C6×D5) = C3×C22⋊D20φ: C6×D5/C15 → C22 ⊆ Aut C2×C4120(C2xC4):1(C6xD5)480,675
(C2×C4)⋊2(C6×D5) = C3×C23⋊D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C4120(C2xC4):2(C6xD5)480,730
(C2×C4)⋊3(C6×D5) = C3×D4⋊6D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4):3(C6xD5)480,1141
(C2×C4)⋊4(C6×D5) = C3×D4⋊8D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4):4(C6xD5)480,1146
(C2×C4)⋊5(C6×D5) = C3×D5×C22⋊C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4120(C2xC4):5(C6xD5)480,673
(C2×C4)⋊6(C6×D5) = C6×D4×D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4120(C2xC4):6(C6xD5)480,1139
(C2×C4)⋊7(C6×D5) = C3×D5×C4○D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4):7(C6xD5)480,1145
(C2×C4)⋊8(C6×D5) = C6×D10⋊C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4):8(C6xD5)480,720
(C2×C4)⋊9(C6×D5) = C2×C6×D20φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4):9(C6xD5)480,1137
(C2×C4)⋊10(C6×D5) = C6×C4○D20φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4):10(C6xD5)480,1138

Non-split extensions G=N.Q with N=C2×C4 and Q=C6×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C6×D5) = C3×C20.46D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).1(C6xD5)480,101
(C2×C4).2(C6×D5) = C3×C4.12D20φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).2(C6xD5)480,102
(C2×C4).3(C6×D5) = C3×C20.D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).3(C6xD5)480,111
(C2×C4).4(C6×D5) = C3×C20.10D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).4(C6xD5)480,114
(C2×C4).5(C6×D5) = C3×Dic5.14D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).5(C6xD5)480,671
(C2×C4).6(C6×D5) = C3×D10⋊D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).6(C6xD5)480,677
(C2×C4).7(C6×D5) = C3×C22.D20φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).7(C6xD5)480,679
(C2×C4).8(C6×D5) = C3×Dic5.Q8φ: C6×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).8(C6xD5)480,682
(C2×C4).9(C6×D5) = C3×D10.13D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).9(C6xD5)480,687
(C2×C4).10(C6×D5) = C3×D10⋊Q8φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).10(C6xD5)480,689
(C2×C4).11(C6×D5) = C3×C8⋊D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).11(C6xD5)480,701
(C2×C4).12(C6×D5) = C3×C8.D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).12(C6xD5)480,702
(C2×C4).13(C6×D5) = C3×D4.D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).13(C6xD5)480,725
(C2×C4).14(C6×D5) = C3×C23.18D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).14(C6xD5)480,728
(C2×C4).15(C6×D5) = C3×Dic5⋊D4φ: C6×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).15(C6xD5)480,732
(C2×C4).16(C6×D5) = C3×C20.C23φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).16(C6xD5)480,735
(C2×C4).17(C6×D5) = C3×D4⋊D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).17(C6xD5)480,742
(C2×C4).18(C6×D5) = C3×D4.9D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).18(C6xD5)480,744
(C2×C4).19(C6×D5) = C3×Q8.10D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).19(C6xD5)480,1144
(C2×C4).20(C6×D5) = C3×D4.10D10φ: C6×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).20(C6xD5)480,1147
(C2×C4).21(C6×D5) = C3×C23.11D10φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).21(C6xD5)480,670
(C2×C4).22(C6×D5) = C3×C23.D10φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).22(C6xD5)480,672
(C2×C4).23(C6×D5) = C3×Dic5⋊4D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).23(C6xD5)480,674
(C2×C4).24(C6×D5) = C3×D10.12D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).24(C6xD5)480,676
(C2×C4).25(C6×D5) = C3×Dic5.5D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).25(C6xD5)480,678
(C2×C4).26(C6×D5) = C3×C4⋊C4⋊D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).26(C6xD5)480,691
(C2×C4).27(C6×D5) = C3×C10.D8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).27(C6xD5)480,85
(C2×C4).28(C6×D5) = C3×C20.Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).28(C6xD5)480,86
(C2×C4).29(C6×D5) = C3×D20⋊6C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).29(C6xD5)480,87
(C2×C4).30(C6×D5) = C3×C10.Q16φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).30(C6xD5)480,88
(C2×C4).31(C6×D5) = C3×C20.53D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).31(C6xD5)480,100
(C2×C4).32(C6×D5) = C3×D20⋊7C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).32(C6xD5)480,103
(C2×C4).33(C6×D5) = C3×D4⋊Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).33(C6xD5)480,110
(C2×C4).34(C6×D5) = C3×Q8⋊Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).34(C6xD5)480,113
(C2×C4).35(C6×D5) = C3×D4⋊2Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).35(C6xD5)480,115
(C2×C4).36(C6×D5) = C3×Dic5⋊3Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).36(C6xD5)480,680
(C2×C4).37(C6×D5) = C3×C20⋊Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).37(C6xD5)480,681
(C2×C4).38(C6×D5) = C3×C4.Dic10φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).38(C6xD5)480,683
(C2×C4).39(C6×D5) = C3×D5×C4⋊C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).39(C6xD5)480,684
(C2×C4).40(C6×D5) = C3×C4⋊C4⋊7D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).40(C6xD5)480,685
(C2×C4).41(C6×D5) = C3×D20⋊8C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).41(C6xD5)480,686
(C2×C4).42(C6×D5) = C3×C4⋊D20φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).42(C6xD5)480,688
(C2×C4).43(C6×D5) = C3×D10⋊2Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).43(C6xD5)480,690
(C2×C4).44(C6×D5) = C3×D5×M4(2)φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).44(C6xD5)480,699
(C2×C4).45(C6×D5) = C3×D20.2C4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).45(C6xD5)480,700
(C2×C4).46(C6×D5) = C6×D4⋊D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).46(C6xD5)480,724
(C2×C4).47(C6×D5) = C6×D4.D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).47(C6xD5)480,726
(C2×C4).48(C6×D5) = C3×D4×Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).48(C6xD5)480,727
(C2×C4).49(C6×D5) = C3×C20.17D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).49(C6xD5)480,729
(C2×C4).50(C6×D5) = C3×C20⋊2D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).50(C6xD5)480,731
(C2×C4).51(C6×D5) = C3×C20⋊D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).51(C6xD5)480,733
(C2×C4).52(C6×D5) = C6×Q8⋊D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).52(C6xD5)480,734
(C2×C4).53(C6×D5) = C6×C5⋊Q16φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).53(C6xD5)480,736
(C2×C4).54(C6×D5) = C3×Dic5⋊Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).54(C6xD5)480,737
(C2×C4).55(C6×D5) = C3×Q8×Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).55(C6xD5)480,738
(C2×C4).56(C6×D5) = C3×D10⋊3Q8φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).56(C6xD5)480,739
(C2×C4).57(C6×D5) = C3×C20.23D4φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).57(C6xD5)480,740
(C2×C4).58(C6×D5) = C3×D4.Dic5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).58(C6xD5)480,741
(C2×C4).59(C6×D5) = C3×D4.8D10φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).59(C6xD5)480,743
(C2×C4).60(C6×D5) = C6×D4⋊2D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).60(C6xD5)480,1140
(C2×C4).61(C6×D5) = C6×Q8×D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).61(C6xD5)480,1142
(C2×C4).62(C6×D5) = C6×Q8⋊2D5φ: C6×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).62(C6xD5)480,1143
(C2×C4).63(C6×D5) = C3×C42⋊2D5φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).63(C6xD5)480,669
(C2×C4).64(C6×D5) = C6×C10.D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).64(C6xD5)480,716
(C2×C4).65(C6×D5) = C12×C5⋊D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).65(C6xD5)480,721
(C2×C4).66(C6×D5) = C3×C23.23D10φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).66(C6xD5)480,722
(C2×C4).67(C6×D5) = C3×D20⋊4C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C41202(C2xC4).67(C6xD5)480,83
(C2×C4).68(C6×D5) = C3×C20.44D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).68(C6xD5)480,94
(C2×C4).69(C6×D5) = C3×C40⋊6C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).69(C6xD5)480,95
(C2×C4).70(C6×D5) = C3×C40⋊5C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).70(C6xD5)480,96
(C2×C4).71(C6×D5) = C3×C40.6C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C42402(C2xC4).71(C6xD5)480,97
(C2×C4).72(C6×D5) = C3×D20⋊5C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).72(C6xD5)480,99
(C2×C4).73(C6×D5) = C12×Dic10φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).73(C6xD5)480,661
(C2×C4).74(C6×D5) = C3×C20⋊2Q8φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).74(C6xD5)480,662
(C2×C4).75(C6×D5) = C3×C20.6Q8φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).75(C6xD5)480,663
(C2×C4).76(C6×D5) = C12×D20φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).76(C6xD5)480,666
(C2×C4).77(C6×D5) = C3×C20⋊4D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).77(C6xD5)480,667
(C2×C4).78(C6×D5) = C3×C4.D20φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).78(C6xD5)480,668
(C2×C4).79(C6×D5) = C3×D20.3C4φ: C6×D5/C30 → C2 ⊆ Aut C2×C42402(C2xC4).79(C6xD5)480,694
(C2×C4).80(C6×D5) = C6×C40⋊C2φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).80(C6xD5)480,695
(C2×C4).81(C6×D5) = C6×D40φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).81(C6xD5)480,696
(C2×C4).82(C6×D5) = C3×D40⋊7C2φ: C6×D5/C30 → C2 ⊆ Aut C2×C42402(C2xC4).82(C6xD5)480,697
(C2×C4).83(C6×D5) = C6×Dic20φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).83(C6xD5)480,698
(C2×C4).84(C6×D5) = C3×C20.48D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).84(C6xD5)480,717
(C2×C4).85(C6×D5) = C6×C4⋊Dic5φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).85(C6xD5)480,718
(C2×C4).86(C6×D5) = C3×C20⋊7D4φ: C6×D5/C30 → C2 ⊆ Aut C2×C4240(C2xC4).86(C6xD5)480,723
(C2×C4).87(C6×D5) = C2×C6×Dic10φ: C6×D5/C30 → C2 ⊆ Aut C2×C4480(C2xC4).87(C6xD5)480,1135
(C2×C4).88(C6×D5) = C12×C5⋊2C8central extension (φ=1)480(C2xC4).88(C6xD5)480,80
(C2×C4).89(C6×D5) = C3×C42.D5central extension (φ=1)480(C2xC4).89(C6xD5)480,81
(C2×C4).90(C6×D5) = C3×C20⋊3C8central extension (φ=1)480(C2xC4).90(C6xD5)480,82
(C2×C4).91(C6×D5) = Dic5×C24central extension (φ=1)480(C2xC4).91(C6xD5)480,91
(C2×C4).92(C6×D5) = C3×C20.8Q8central extension (φ=1)480(C2xC4).92(C6xD5)480,92
(C2×C4).93(C6×D5) = C3×C40⋊8C4central extension (φ=1)480(C2xC4).93(C6xD5)480,93
(C2×C4).94(C6×D5) = C3×D10⋊1C8central extension (φ=1)240(C2xC4).94(C6xD5)480,98
(C2×C4).95(C6×D5) = C3×C20.55D4central extension (φ=1)240(C2xC4).95(C6xD5)480,108
(C2×C4).96(C6×D5) = D5×C4×C12central extension (φ=1)240(C2xC4).96(C6xD5)480,664
(C2×C4).97(C6×D5) = C3×C42⋊D5central extension (φ=1)240(C2xC4).97(C6xD5)480,665
(C2×C4).98(C6×D5) = D5×C2×C24central extension (φ=1)240(C2xC4).98(C6xD5)480,692
(C2×C4).99(C6×D5) = C6×C8⋊D5central extension (φ=1)240(C2xC4).99(C6xD5)480,693
(C2×C4).100(C6×D5) = C2×C6×C5⋊2C8central extension (φ=1)480(C2xC4).100(C6xD5)480,713
(C2×C4).101(C6×D5) = C6×C4.Dic5central extension (φ=1)240(C2xC4).101(C6xD5)480,714
(C2×C4).102(C6×D5) = Dic5×C2×C12central extension (φ=1)480(C2xC4).102(C6xD5)480,715
(C2×C4).103(C6×D5) = C3×C23.21D10central extension (φ=1)240(C2xC4).103(C6xD5)480,719

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