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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=C2×C6

Direct product G=N×Q with N=C2×C20 and Q=C2×C6
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C2×C20 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1(C2×C6) = C3×C22⋊D20φ: C2×C6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):1(C2xC6)480,675
(C2×C20)⋊2(C2×C6) = C6×D4×D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):2(C2xC6)480,1139
(C2×C20)⋊3(C2×C6) = C3×D4⋊6D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):3(C2xC6)480,1141
(C2×C20)⋊4(C2×C6) = C3×D5×C4○D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):4(C2xC6)480,1145
(C2×C20)⋊5(C2×C6) = C3×D4⋊8D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):5(C2xC6)480,1146
(C2×C20)⋊6(C2×C6) = C3×D5×C22⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):6(C2xC6)480,673
(C2×C20)⋊7(C2×C6) = C3×C23⋊D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):7(C2xC6)480,730
(C2×C20)⋊8(C2×C6) = C15×C22≀C2φ: C2×C6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):8(C2xC6)480,925
(C2×C20)⋊9(C2×C6) = C15×2+ 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):9(C2xC6)480,1184
(C2×C20)⋊10(C2×C6) = C6×D10⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):10(C2xC6)480,720
(C2×C20)⋊11(C2×C6) = C22⋊C4×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):11(C2xC6)480,920
(C2×C20)⋊12(C2×C6) = C2×C6×D20φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):12(C2xC6)480,1137
(C2×C20)⋊13(C2×C6) = C6×C4○D20φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):13(C2xC6)480,1138
(C2×C20)⋊14(C2×C6) = D5×C22×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):14(C2xC6)480,1136
(C2×C20)⋊15(C2×C6) = D4×C2×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):15(C2xC6)480,1181
(C2×C20)⋊16(C2×C6) = C4○D4×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):16(C2xC6)480,1183

Non-split extensions G=N.Q with N=C2×C20 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C2×C20).1(C2×C6) = C3×Dic5.14D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).1(C2xC6)480,671
(C2×C20).2(C2×C6) = C3×D10⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).2(C2xC6)480,677
(C2×C20).3(C2×C6) = C3×C22.D20φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).3(C2xC6)480,679
(C2×C20).4(C2×C6) = C3×C20⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).4(C2xC6)480,681
(C2×C20).5(C2×C6) = C3×C4.Dic10φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).5(C2xC6)480,683
(C2×C20).6(C2×C6) = C3×D10⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).6(C2xC6)480,689
(C2×C20).7(C2×C6) = C3×C10.D8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).7(C2xC6)480,85
(C2×C20).8(C2×C6) = C3×C20.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).8(C2xC6)480,86
(C2×C20).9(C2×C6) = C3×D20⋊6C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).9(C2xC6)480,87
(C2×C20).10(C2×C6) = C3×C10.Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).10(C2xC6)480,88
(C2×C20).11(C2×C6) = C3×C20.53D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).11(C2xC6)480,100
(C2×C20).12(C2×C6) = C3×C20.46D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).12(C2xC6)480,101
(C2×C20).13(C2×C6) = C3×C4.12D20φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).13(C2xC6)480,102
(C2×C20).14(C2×C6) = C3×D20⋊7C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).14(C2xC6)480,103
(C2×C20).15(C2×C6) = C3×D4⋊Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).15(C2xC6)480,110
(C2×C20).16(C2×C6) = C3×C20.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).16(C2xC6)480,111
(C2×C20).17(C2×C6) = C3×Q8⋊Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).17(C2xC6)480,113
(C2×C20).18(C2×C6) = C3×C20.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).18(C2xC6)480,114
(C2×C20).19(C2×C6) = C3×D4⋊2Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).19(C2xC6)480,115
(C2×C20).20(C2×C6) = C3×C4⋊D20φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).20(C2xC6)480,688
(C2×C20).21(C2×C6) = C3×D10⋊2Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).21(C2xC6)480,690
(C2×C20).22(C2×C6) = C3×D5×M4(2)φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).22(C2xC6)480,699
(C2×C20).23(C2×C6) = C3×D20.2C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).23(C2xC6)480,700
(C2×C20).24(C2×C6) = C3×C8⋊D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).24(C2xC6)480,701
(C2×C20).25(C2×C6) = C3×C8.D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).25(C2xC6)480,702
(C2×C20).26(C2×C6) = C6×D4⋊D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).26(C2xC6)480,724
(C2×C20).27(C2×C6) = C3×D4.D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).27(C2xC6)480,725
(C2×C20).28(C2×C6) = C6×D4.D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).28(C2xC6)480,726
(C2×C20).29(C2×C6) = C3×D4×Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).29(C2xC6)480,727
(C2×C20).30(C2×C6) = C3×C20.17D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).30(C2xC6)480,729
(C2×C20).31(C2×C6) = C3×C20⋊2D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).31(C2xC6)480,731
(C2×C20).32(C2×C6) = C3×C20⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).32(C2xC6)480,733
(C2×C20).33(C2×C6) = C6×Q8⋊D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).33(C2xC6)480,734
(C2×C20).34(C2×C6) = C3×C20.C23φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).34(C2xC6)480,735
(C2×C20).35(C2×C6) = C6×C5⋊Q16φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).35(C2xC6)480,736
(C2×C20).36(C2×C6) = C3×Q8×Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).36(C2xC6)480,738
(C2×C20).37(C2×C6) = C3×D10⋊3Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).37(C2xC6)480,739
(C2×C20).38(C2×C6) = C3×D4.Dic5φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).38(C2xC6)480,741
(C2×C20).39(C2×C6) = C3×D4⋊D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).39(C2xC6)480,742
(C2×C20).40(C2×C6) = C3×D4.8D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).40(C2xC6)480,743
(C2×C20).41(C2×C6) = C3×D4.9D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).41(C2xC6)480,744
(C2×C20).42(C2×C6) = C6×D4⋊2D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).42(C2xC6)480,1140
(C2×C20).43(C2×C6) = C6×Q8×D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).43(C2xC6)480,1142
(C2×C20).44(C2×C6) = C6×Q8⋊2D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).44(C2xC6)480,1143
(C2×C20).45(C2×C6) = C3×Q8.10D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).45(C2xC6)480,1144
(C2×C20).46(C2×C6) = C3×D4.10D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).46(C2xC6)480,1147
(C2×C20).47(C2×C6) = C3×C23.11D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).47(C2xC6)480,670
(C2×C20).48(C2×C6) = C3×C23.D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).48(C2xC6)480,672
(C2×C20).49(C2×C6) = C3×Dic5⋊4D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).49(C2xC6)480,674
(C2×C20).50(C2×C6) = C3×D10.12D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).50(C2xC6)480,676
(C2×C20).51(C2×C6) = C3×Dic5.5D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).51(C2xC6)480,678
(C2×C20).52(C2×C6) = C3×Dic5⋊3Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).52(C2xC6)480,680
(C2×C20).53(C2×C6) = C3×Dic5.Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).53(C2xC6)480,682
(C2×C20).54(C2×C6) = C3×D5×C4⋊C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).54(C2xC6)480,684
(C2×C20).55(C2×C6) = C3×C4⋊C4⋊7D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).55(C2xC6)480,685
(C2×C20).56(C2×C6) = C3×D20⋊8C4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).56(C2xC6)480,686
(C2×C20).57(C2×C6) = C3×D10.13D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).57(C2xC6)480,687
(C2×C20).58(C2×C6) = C3×C4⋊C4⋊D5φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).58(C2xC6)480,691
(C2×C20).59(C2×C6) = C15×C4.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).59(C2xC6)480,203
(C2×C20).60(C2×C6) = C15×C4.10D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).60(C2xC6)480,204
(C2×C20).61(C2×C6) = C3×C23.18D10φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).61(C2xC6)480,728
(C2×C20).62(C2×C6) = C3×Dic5⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).62(C2xC6)480,732
(C2×C20).63(C2×C6) = C3×Dic5⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).63(C2xC6)480,737
(C2×C20).64(C2×C6) = C3×C20.23D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).64(C2xC6)480,740
(C2×C20).65(C2×C6) = C15×C4⋊D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).65(C2xC6)480,926
(C2×C20).66(C2×C6) = C15×C22⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).66(C2xC6)480,927
(C2×C20).67(C2×C6) = C15×C22.D4φ: C2×C6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).67(C2xC6)480,928
(C2×C20).68(C2×C6) = C15×C4⋊Q8φ: C2×C6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).68(C2xC6)480,933
(C2×C20).69(C2×C6) = C15×C8⋊C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).69(C2xC6)480,941
(C2×C20).70(C2×C6) = C15×C8.C22φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).70(C2xC6)480,942
(C2×C20).71(C2×C6) = C15×2- 1+4φ: C2×C6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).71(C2xC6)480,1185
(C2×C20).72(C2×C6) = C12×Dic10φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).72(C2xC6)480,661
(C2×C20).73(C2×C6) = C3×C20.6Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).73(C2xC6)480,663
(C2×C20).74(C2×C6) = C3×C42⋊D5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).74(C2xC6)480,665
(C2×C20).75(C2×C6) = C12×D20φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).75(C2xC6)480,666
(C2×C20).76(C2×C6) = C3×C4.D20φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).76(C2xC6)480,668
(C2×C20).77(C2×C6) = C3×C42⋊2D5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).77(C2xC6)480,669
(C2×C20).78(C2×C6) = C6×C10.D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).78(C2xC6)480,716
(C2×C20).79(C2×C6) = C12×C5⋊D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).79(C2xC6)480,721
(C2×C20).80(C2×C6) = C3×C23.23D10φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).80(C2xC6)480,722
(C2×C20).81(C2×C6) = C15×C42⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).81(C2xC6)480,922
(C2×C20).82(C2×C6) = C15×C4.4D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).82(C2xC6)480,929
(C2×C20).83(C2×C6) = C15×C42.C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).83(C2xC6)480,930
(C2×C20).84(C2×C6) = C15×C42⋊2C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).84(C2xC6)480,931
(C2×C20).85(C2×C6) = C3×C20.44D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).85(C2xC6)480,94
(C2×C20).86(C2×C6) = C3×C40⋊6C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).86(C2xC6)480,95
(C2×C20).87(C2×C6) = C3×C40⋊5C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).87(C2xC6)480,96
(C2×C20).88(C2×C6) = C3×D20⋊5C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).88(C2xC6)480,99
(C2×C20).89(C2×C6) = C3×C20⋊2Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).89(C2xC6)480,662
(C2×C20).90(C2×C6) = C3×C20⋊4D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).90(C2xC6)480,667
(C2×C20).91(C2×C6) = C6×C40⋊C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).91(C2xC6)480,695
(C2×C20).92(C2×C6) = C6×D40φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).92(C2xC6)480,696
(C2×C20).93(C2×C6) = C6×Dic20φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).93(C2xC6)480,698
(C2×C20).94(C2×C6) = C3×C20.48D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).94(C2xC6)480,717
(C2×C20).95(C2×C6) = C6×C4⋊Dic5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).95(C2xC6)480,718
(C2×C20).96(C2×C6) = C3×C23.21D10φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).96(C2xC6)480,719
(C2×C20).97(C2×C6) = C3×C20⋊7D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).97(C2xC6)480,723
(C2×C20).98(C2×C6) = C2×C6×Dic10φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).98(C2xC6)480,1135
(C2×C20).99(C2×C6) = C3×D20⋊4C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C201202(C2xC20).99(C2xC6)480,83
(C2×C20).100(C2×C6) = C3×C40.6C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).100(C2xC6)480,97
(C2×C20).101(C2×C6) = C3×D20.3C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).101(C2xC6)480,694
(C2×C20).102(C2×C6) = C3×D40⋊7C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).102(C2xC6)480,697
(C2×C20).103(C2×C6) = C6×C4.Dic5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).103(C2xC6)480,714
(C2×C20).104(C2×C6) = C12×C5⋊2C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).104(C2xC6)480,80
(C2×C20).105(C2×C6) = C3×C42.D5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).105(C2xC6)480,81
(C2×C20).106(C2×C6) = C3×C20⋊3C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).106(C2xC6)480,82
(C2×C20).107(C2×C6) = Dic5×C24φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).107(C2xC6)480,91
(C2×C20).108(C2×C6) = C3×C20.8Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).108(C2xC6)480,92
(C2×C20).109(C2×C6) = C3×C40⋊8C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).109(C2xC6)480,93
(C2×C20).110(C2×C6) = C3×D10⋊1C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).110(C2xC6)480,98
(C2×C20).111(C2×C6) = C3×C20.55D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).111(C2xC6)480,108
(C2×C20).112(C2×C6) = D5×C4×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).112(C2xC6)480,664
(C2×C20).113(C2×C6) = D5×C2×C24φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).113(C2xC6)480,692
(C2×C20).114(C2×C6) = C6×C8⋊D5φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).114(C2xC6)480,693
(C2×C20).115(C2×C6) = C2×C6×C5⋊2C8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).115(C2xC6)480,713
(C2×C20).116(C2×C6) = Dic5×C2×C12φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).116(C2xC6)480,715
(C2×C20).117(C2×C6) = C15×D4⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).117(C2xC6)480,205
(C2×C20).118(C2×C6) = C15×Q8⋊C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).118(C2xC6)480,206
(C2×C20).119(C2×C6) = C15×C4≀C2φ: C2×C6/C6 → C2 ⊆ Aut C2×C201202(C2xC20).119(C2xC6)480,207
(C2×C20).120(C2×C6) = C15×C4.Q8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).120(C2xC6)480,209
(C2×C20).121(C2×C6) = C15×C2.D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).121(C2xC6)480,210
(C2×C20).122(C2×C6) = C15×C8.C4φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).122(C2xC6)480,211
(C2×C20).123(C2×C6) = C4⋊C4×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).123(C2xC6)480,921
(C2×C20).124(C2×C6) = Q8×C60φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).124(C2xC6)480,924
(C2×C20).125(C2×C6) = C15×C4⋊1D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).125(C2xC6)480,932
(C2×C20).126(C2×C6) = M4(2)×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).126(C2xC6)480,935
(C2×C20).127(C2×C6) = C15×C8○D4φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).127(C2xC6)480,936
(C2×C20).128(C2×C6) = D8×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).128(C2xC6)480,937
(C2×C20).129(C2×C6) = SD16×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).129(C2xC6)480,938
(C2×C20).130(C2×C6) = Q16×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).130(C2xC6)480,939
(C2×C20).131(C2×C6) = C15×C4○D8φ: C2×C6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).131(C2xC6)480,940
(C2×C20).132(C2×C6) = Q8×C2×C30φ: C2×C6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).132(C2xC6)480,1182
(C2×C20).133(C2×C6) = C15×C8⋊C4central extension (φ=1)480(C2xC20).133(C2xC6)480,200
(C2×C20).134(C2×C6) = C15×C22⋊C8central extension (φ=1)240(C2xC20).134(C2xC6)480,201
(C2×C20).135(C2×C6) = C15×C4⋊C8central extension (φ=1)480(C2xC20).135(C2xC6)480,208
(C2×C20).136(C2×C6) = D4×C60central extension (φ=1)240(C2xC20).136(C2xC6)480,923

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