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Extensions 1→N→G→Q→1 with N=C12 and Q=C22⋊C4

Direct product G=N×Q with N=C12 and Q=C22⋊C4
dρLabelID
C12×C22⋊C496C12xC2^2:C4192,810

Semidirect products G=N:Q with N=C12 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C12⋊1(C22⋊C4) = C4⋊(D6⋊C4)φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12:1(C2^2:C4)192,546
C12⋊2(C22⋊C4) = (C2×D12)⋊10C4φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12:2(C2^2:C4)192,547
C12⋊3(C22⋊C4) = C24.30D6φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12:3(C2^2:C4)192,780
C12⋊4(C22⋊C4) = (C2×C4)⋊6D12φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12:4(C2^2:C4)192,498
C12⋊5(C22⋊C4) = C4×D6⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12:5(C2^2:C4)192,497
C12⋊6(C22⋊C4) = C3×C24.3C22φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12:6(C2^2:C4)192,823
C12⋊7(C22⋊C4) = C24.75D6φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12:7(C2^2:C4)192,771
C12⋊8(C22⋊C4) = C4×C6.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12:8(C2^2:C4)192,768
C12⋊9(C22⋊C4) = C3×C23.7Q8φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12:9(C2^2:C4)192,813

Non-split extensions G=N.Q with N=C12 and Q=C22⋊C4
extensionφ:Q→Aut NdρLabelID
C12.1(C22⋊C4) = D24⋊8C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.1(C2^2:C4)192,47
C12.2(C22⋊C4) = C6.D16φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.2(C2^2:C4)192,50
C12.3(C22⋊C4) = C6.Q32φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.3(C2^2:C4)192,51
C12.4(C22⋊C4) = D24.C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12484+C12.4(C2^2:C4)192,54
C12.5(C22⋊C4) = C24.8D4φ: C22⋊C4/C22 → C22 ⊆ Aut C12964-C12.5(C2^2:C4)192,55
C12.6(C22⋊C4) = Dic12.C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12964C12.6(C2^2:C4)192,56
C12.7(C22⋊C4) = C12.C42φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.7(C2^2:C4)192,88
C12.8(C22⋊C4) = C12.(C4⋊C4)φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.8(C2^2:C4)192,89
C12.9(C22⋊C4) = C42⋊3Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.9(C2^2:C4)192,90
C12.10(C22⋊C4) = (C2×C12).Q8φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.10(C2^2:C4)192,92
C12.11(C22⋊C4) = (C2×C24)⋊C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.11(C2^2:C4)192,115
C12.12(C22⋊C4) = C12.21C42φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.12(C2^2:C4)192,119
C12.13(C22⋊C4) = D8⋊1Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.13(C2^2:C4)192,121
C12.14(C22⋊C4) = D8.Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.14(C2^2:C4)192,122
C12.15(C22⋊C4) = C6.5Q32φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.15(C2^2:C4)192,123
C12.16(C22⋊C4) = Q16.Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C12964C12.16(C2^2:C4)192,124
C12.17(C22⋊C4) = D8⋊2Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.17(C2^2:C4)192,125
C12.18(C22⋊C4) = C24.41D4φ: C22⋊C4/C22 → C22 ⊆ Aut C12964C12.18(C2^2:C4)192,126
C12.19(C22⋊C4) = C2×C6.D8φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.19(C2^2:C4)192,524
C12.20(C22⋊C4) = C4○D12⋊C4φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.20(C2^2:C4)192,525
C12.21(C22⋊C4) = C2×C6.SD16φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.21(C2^2:C4)192,528
C12.22(C22⋊C4) = C4.(D6⋊C4)φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.22(C2^2:C4)192,532
C12.23(C22⋊C4) = C42⋊6D6φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.23(C2^2:C4)192,564
C12.24(C22⋊C4) = C23.51D12φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.24(C2^2:C4)192,679
C12.25(C22⋊C4) = D6⋊6M4(2)φ: C22⋊C4/C22 → C22 ⊆ Aut C1248C12.25(C2^2:C4)192,685
C12.26(C22⋊C4) = D6⋊C8⋊40C2φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.26(C2^2:C4)192,688
C12.27(C22⋊C4) = C23.53D12φ: C22⋊C4/C22 → C22 ⊆ Aut C1248C12.27(C2^2:C4)192,690
C12.28(C22⋊C4) = C23.54D12φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.28(C2^2:C4)192,692
C12.29(C22⋊C4) = M4(2)⋊24D6φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.29(C2^2:C4)192,698
C12.30(C22⋊C4) = C2×D4⋊Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.30(C2^2:C4)192,773
C12.31(C22⋊C4) = (C6×D4)⋊6C4φ: C22⋊C4/C22 → C22 ⊆ Aut C1248C12.31(C2^2:C4)192,774
C12.32(C22⋊C4) = C2×C12.D4φ: C22⋊C4/C22 → C22 ⊆ Aut C1248C12.32(C2^2:C4)192,775
C12.33(C22⋊C4) = C2×Q8⋊2Dic3φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.33(C2^2:C4)192,783
C12.34(C22⋊C4) = (C6×Q8)⋊6C4φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.34(C2^2:C4)192,784
C12.35(C22⋊C4) = C2×C12.10D4φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.35(C2^2:C4)192,785
C12.36(C22⋊C4) = (C6×Q8)⋊7C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12192C12.36(C2^2:C4)192,788
C12.37(C22⋊C4) = (C6×D4).11C4φ: C22⋊C4/C22 → C22 ⊆ Aut C1296C12.37(C2^2:C4)192,793
C12.38(C22⋊C4) = (C6×D4)⋊9C4φ: C22⋊C4/C22 → C22 ⊆ Aut C12484C12.38(C2^2:C4)192,795
C12.39(C22⋊C4) = C2.Dic24φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.39(C2^2:C4)192,62
C12.40(C22⋊C4) = C2.D48φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.40(C2^2:C4)192,68
C12.41(C22⋊C4) = D24.1C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12962C12.41(C2^2:C4)192,69
C12.42(C22⋊C4) = M5(2)⋊S3φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484+C12.42(C2^2:C4)192,75
C12.43(C22⋊C4) = C12.4D8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12964-C12.43(C2^2:C4)192,76
C12.44(C22⋊C4) = D24⋊2C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.44(C2^2:C4)192,77
C12.45(C22⋊C4) = C2×C42⋊4S3φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.45(C2^2:C4)192,486
C12.46(C22⋊C4) = (C2×Dic6)⋊7C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.46(C2^2:C4)192,488
C12.47(C22⋊C4) = C4⋊C4⋊36D6φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.47(C2^2:C4)192,560
C12.48(C22⋊C4) = C4⋊C4.237D6φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.48(C2^2:C4)192,563
C12.49(C22⋊C4) = (C2×D12)⋊13C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.49(C2^2:C4)192,565
C12.50(C22⋊C4) = C2×C2.Dic12φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.50(C2^2:C4)192,662
C12.51(C22⋊C4) = (C22×C8)⋊7S3φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.51(C2^2:C4)192,669
C12.52(C22⋊C4) = C2×C2.D24φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.52(C2^2:C4)192,671
C12.53(C22⋊C4) = C2×C12.46D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.53(C2^2:C4)192,689
C12.54(C22⋊C4) = C2×C12.47D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.54(C2^2:C4)192,695
C12.55(C22⋊C4) = D6⋊C16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.55(C2^2:C4)192,66
C12.56(C22⋊C4) = D12.C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12962C12.56(C2^2:C4)192,67
C12.57(C22⋊C4) = C8.25D12φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.57(C2^2:C4)192,73
C12.58(C22⋊C4) = Dic6.C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12964C12.58(C2^2:C4)192,74
C12.59(C22⋊C4) = C12.8C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.59(C2^2:C4)192,82
C12.60(C22⋊C4) = (C2×C12)⋊3C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.60(C2^2:C4)192,83
C12.61(C22⋊C4) = C12.2C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.61(C2^2:C4)192,91
C12.62(C22⋊C4) = (C2×C24)⋊5C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.62(C2^2:C4)192,109
C12.63(C22⋊C4) = C12.10C42φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.63(C2^2:C4)192,111
C12.64(C22⋊C4) = C4.(C2×D12)φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.64(C2^2:C4)192,561
C12.65(C22⋊C4) = C2×D6⋊C8φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.65(C2^2:C4)192,667
C12.66(C22⋊C4) = C23.28D12φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.66(C2^2:C4)192,672
C12.67(C22⋊C4) = M4(2).31D6φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.67(C2^2:C4)192,691
C12.68(C22⋊C4) = C2×D12⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.68(C2^2:C4)192,697
C12.69(C22⋊C4) = C3×C2.D16φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.69(C2^2:C4)192,163
C12.70(C22⋊C4) = C3×C2.Q32φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.70(C2^2:C4)192,164
C12.71(C22⋊C4) = C3×D8.C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12962C12.71(C2^2:C4)192,165
C12.72(C22⋊C4) = C3×D8⋊2C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.72(C2^2:C4)192,166
C12.73(C22⋊C4) = C3×M5(2)⋊C2φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.73(C2^2:C4)192,167
C12.74(C22⋊C4) = C3×C8.17D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12964C12.74(C2^2:C4)192,168
C12.75(C22⋊C4) = C3×C23.67C23φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.75(C2^2:C4)192,824
C12.76(C22⋊C4) = C3×(C22×C8)⋊C2φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.76(C2^2:C4)192,841
C12.77(C22⋊C4) = C3×C23.C23φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.77(C2^2:C4)192,843
C12.78(C22⋊C4) = C6×C4.D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.78(C2^2:C4)192,844
C12.79(C22⋊C4) = C6×C4.10D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.79(C2^2:C4)192,845
C12.80(C22⋊C4) = C6×D4⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.80(C2^2:C4)192,847
C12.81(C22⋊C4) = C6×Q8⋊C4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12192C12.81(C2^2:C4)192,848
C12.82(C22⋊C4) = C3×C23.37D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1248C12.82(C2^2:C4)192,851
C12.83(C22⋊C4) = C3×C23.38D4φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C1296C12.83(C2^2:C4)192,852
C12.84(C22⋊C4) = C3×C42⋊C22φ: C22⋊C4/C2×C4 → C2 ⊆ Aut C12484C12.84(C2^2:C4)192,854
C12.85(C22⋊C4) = C12.9C42φ: C22⋊C4/C23 → C2 ⊆ Aut C12192C12.85(C2^2:C4)192,110
C12.86(C22⋊C4) = M4(2)⋊Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.86(C2^2:C4)192,113
C12.87(C22⋊C4) = C12.20C42φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.87(C2^2:C4)192,116
C12.88(C22⋊C4) = M4(2)⋊4Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.88(C2^2:C4)192,118
C12.89(C22⋊C4) = C24.6Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C1248C12.89(C2^2:C4)192,766
C12.90(C22⋊C4) = C4○D4⋊3Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.90(C2^2:C4)192,791
C12.91(C22⋊C4) = (C6×D4).16C4φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.91(C2^2:C4)192,796
C12.92(C22⋊C4) = C24.98D4φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.92(C2^2:C4)192,108
C12.93(C22⋊C4) = C24.D4φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.93(C2^2:C4)192,112
C12.94(C22⋊C4) = C12.3C42φ: C22⋊C4/C23 → C2 ⊆ Aut C1248C12.94(C2^2:C4)192,114
C12.95(C22⋊C4) = C12.4C42φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.95(C2^2:C4)192,117
C12.96(C22⋊C4) = C24.99D4φ: C22⋊C4/C23 → C2 ⊆ Aut C12964C12.96(C2^2:C4)192,120
C12.97(C22⋊C4) = C2×C12.55D4φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.97(C2^2:C4)192,765
C12.98(C22⋊C4) = C4○D4⋊4Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.98(C2^2:C4)192,792
C12.99(C22⋊C4) = C2×Q8⋊3Dic3φ: C22⋊C4/C23 → C2 ⊆ Aut C1248C12.99(C2^2:C4)192,794
C12.100(C22⋊C4) = (C6×D4)⋊10C4φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.100(C2^2:C4)192,799
C12.101(C22⋊C4) = C3×C4.9C42φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.101(C2^2:C4)192,143
C12.102(C22⋊C4) = C3×C4.10C42φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.102(C2^2:C4)192,144
C12.103(C22⋊C4) = C3×C22.4Q16φ: C22⋊C4/C23 → C2 ⊆ Aut C12192C12.103(C2^2:C4)192,146
C12.104(C22⋊C4) = C3×C4.C42φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.104(C2^2:C4)192,147
C12.105(C22⋊C4) = C3×C22.C42φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.105(C2^2:C4)192,149
C12.106(C22⋊C4) = C3×M4(2)⋊4C4φ: C22⋊C4/C23 → C2 ⊆ Aut C12484C12.106(C2^2:C4)192,150
C12.107(C22⋊C4) = C3×C24.4C4φ: C22⋊C4/C23 → C2 ⊆ Aut C1248C12.107(C2^2:C4)192,840
C12.108(C22⋊C4) = C3×C23.36D4φ: C22⋊C4/C23 → C2 ⊆ Aut C1296C12.108(C2^2:C4)192,850
C12.109(C22⋊C4) = C3×C22.7C42central extension (φ=1)192C12.109(C2^2:C4)192,142
C12.110(C22⋊C4) = C3×C42⋊6C4central extension (φ=1)48C12.110(C2^2:C4)192,145
C12.111(C22⋊C4) = C3×C22⋊C16central extension (φ=1)96C12.111(C2^2:C4)192,154
C12.112(C22⋊C4) = C3×C23.C8central extension (φ=1)484C12.112(C2^2:C4)192,155
C12.113(C22⋊C4) = C3×D4.C8central extension (φ=1)962C12.113(C2^2:C4)192,156
C12.114(C22⋊C4) = C6×C22⋊C8central extension (φ=1)96C12.114(C2^2:C4)192,839
C12.115(C22⋊C4) = C3×M4(2).8C22central extension (φ=1)484C12.115(C2^2:C4)192,846
C12.116(C22⋊C4) = C3×C23.24D4central extension (φ=1)96C12.116(C2^2:C4)192,849
C12.117(C22⋊C4) = C6×C4≀C2central extension (φ=1)48C12.117(C2^2:C4)192,853

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