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Extensions 1→N→G→Q→1 with N=C22 and Q=C4○D12

Direct product G=N×Q with N=C22 and Q=C4○D12
dρLabelID
C22×C4○D1296C2^2xC4oD12192,1513

Semidirect products G=N:Q with N=C22 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C22⋊(C4○D12) = C24.10D6φ: C4○D12/C2×C4 → S3 ⊆ Aut C22246C2^2:(C4oD12)192,1471
C22⋊2(C4○D12) = Dic6⋊23D4φ: C4○D12/Dic6 → C2 ⊆ Aut C2296C2^2:2(C4oD12)192,1111
C22⋊3(C4○D12) = C42⋊14D6φ: C4○D12/C4×S3 → C2 ⊆ Aut C2248C2^2:3(C4oD12)192,1106
C22⋊4(C4○D12) = D12⋊23D4φ: C4○D12/D12 → C2 ⊆ Aut C2248C2^2:4(C4oD12)192,1109
C22⋊5(C4○D12) = C24.38D6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C2248C2^2:5(C4oD12)192,1049
C22⋊6(C4○D12) = C24.83D6φ: C4○D12/C2×C12 → C2 ⊆ Aut C2248C2^2:6(C4oD12)192,1350

Non-split extensions G=N.Q with N=C22 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D12) = C42.104D6φ: C4○D12/Dic6 → C2 ⊆ Aut C2296C2^2.1(C4oD12)192,1099
C22.2(C4○D12) = C42.119D6φ: C4○D12/Dic6 → C2 ⊆ Aut C2296C2^2.2(C4oD12)192,1124
C22.3(C4○D12) = C24.100D4φ: C4○D12/C4×S3 → C2 ⊆ Aut C22484C2^2.3(C4oD12)192,703
C22.4(C4○D12) = C24.54D4φ: C4○D12/C4×S3 → C2 ⊆ Aut C22484C2^2.4(C4oD12)192,704
C22.5(C4○D12) = C42.102D6φ: C4○D12/C4×S3 → C2 ⊆ Aut C2296C2^2.5(C4oD12)192,1097
C22.6(C4○D12) = C42⋊19D6φ: C4○D12/C4×S3 → C2 ⊆ Aut C2248C2^2.6(C4oD12)192,1119
C22.7(C4○D12) = C42.118D6φ: C4○D12/C4×S3 → C2 ⊆ Aut C2296C2^2.7(C4oD12)192,1123
C22.8(C4○D12) = Q8.8D12φ: C4○D12/D12 → C2 ⊆ Aut C22484C2^2.8(C4oD12)192,700
C22.9(C4○D12) = Q8.9D12φ: C4○D12/D12 → C2 ⊆ Aut C22484+C2^2.9(C4oD12)192,701
C22.10(C4○D12) = Q8.10D12φ: C4○D12/D12 → C2 ⊆ Aut C22964-C2^2.10(C4oD12)192,702
C22.11(C4○D12) = C42.105D6φ: C4○D12/D12 → C2 ⊆ Aut C2296C2^2.11(C4oD12)192,1100
C22.12(C4○D12) = C42⋊18D6φ: C4○D12/D12 → C2 ⊆ Aut C2248C2^2.12(C4oD12)192,1115
C22.13(C4○D12) = D12.2D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C22488-C2^2.13(C4oD12)192,307
C22.14(C4○D12) = D12.3D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C22488+C2^2.14(C4oD12)192,308
C22.15(C4○D12) = D12.6D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C22488+C2^2.15(C4oD12)192,313
C22.16(C4○D12) = D12.7D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C22968-C2^2.16(C4oD12)192,314
C22.17(C4○D12) = C24.42D6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C2248C2^2.17(C4oD12)192,1054
C22.18(C4○D12) = C42⋊12D6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C2248C2^2.18(C4oD12)192,1086
C22.19(C4○D12) = C42.96D6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C2296C2^2.19(C4oD12)192,1090
C22.20(C4○D12) = D24⋊11C4φ: C4○D12/C2×C12 → C2 ⊆ Aut C22482C2^2.20(C4oD12)192,259
C22.21(C4○D12) = D24⋊4C4φ: C4○D12/C2×C12 → C2 ⊆ Aut C22484C2^2.21(C4oD12)192,276
C22.22(C4○D12) = C42.277D6φ: C4○D12/C2×C12 → C2 ⊆ Aut C2296C2^2.22(C4oD12)192,1038
C22.23(C4○D12) = C24.41D6φ: C4○D12/C2×C12 → C2 ⊆ Aut C2248C2^2.23(C4oD12)192,1053
C22.24(C4○D12) = C6.62- 1+4φ: C4○D12/C2×C12 → C2 ⊆ Aut C2296C2^2.24(C4oD12)192,1074
C22.25(C4○D12) = (C2×C12)⋊Q8central extension (φ=1)192C2^2.25(C4oD12)192,205
C22.26(C4○D12) = C6.(C4×Q8)central extension (φ=1)192C2^2.26(C4oD12)192,206
C22.27(C4○D12) = C3⋊(C42⋊8C4)central extension (φ=1)192C2^2.27(C4oD12)192,209
C22.28(C4○D12) = C3⋊(C42⋊5C4)central extension (φ=1)192C2^2.28(C4oD12)192,210
C22.29(C4○D12) = C6.(C4×D4)central extension (φ=1)192C2^2.29(C4oD12)192,211
C22.30(C4○D12) = C2.(C4×D12)central extension (φ=1)192C2^2.30(C4oD12)192,212
C22.31(C4○D12) = C2.(C4×Dic6)central extension (φ=1)192C2^2.31(C4oD12)192,213
C22.32(C4○D12) = Dic3⋊C4⋊C4central extension (φ=1)192C2^2.32(C4oD12)192,214
C22.33(C4○D12) = C22.58(S3×D4)central extension (φ=1)96C2^2.33(C4oD12)192,223
C22.34(C4○D12) = (C2×C4)⋊9D12central extension (φ=1)96C2^2.34(C4oD12)192,224
C22.35(C4○D12) = D6⋊(C4⋊C4)central extension (φ=1)96C2^2.35(C4oD12)192,226
C22.36(C4○D12) = D6⋊C4⋊C4central extension (φ=1)96C2^2.36(C4oD12)192,227
C22.37(C4○D12) = D6⋊C4⋊5C4central extension (φ=1)96C2^2.37(C4oD12)192,228
C22.38(C4○D12) = D6⋊C4⋊3C4central extension (φ=1)96C2^2.38(C4oD12)192,229
C22.39(C4○D12) = C12⋊4(C4⋊C4)central extension (φ=1)192C2^2.39(C4oD12)192,487
C22.40(C4○D12) = (C2×Dic6)⋊7C4central extension (φ=1)192C2^2.40(C4oD12)192,488
C22.41(C4○D12) = C4×Dic3⋊C4central extension (φ=1)192C2^2.41(C4oD12)192,490
C22.42(C4○D12) = C42⋊6Dic3central extension (φ=1)192C2^2.42(C4oD12)192,491
C22.43(C4○D12) = (C2×C42).6S3central extension (φ=1)192C2^2.43(C4oD12)192,492
C22.44(C4○D12) = C4×C4⋊Dic3central extension (φ=1)192C2^2.44(C4oD12)192,493
C22.45(C4○D12) = C42⋊11Dic3central extension (φ=1)192C2^2.45(C4oD12)192,495
C22.46(C4○D12) = C42⋊7Dic3central extension (φ=1)192C2^2.46(C4oD12)192,496
C22.47(C4○D12) = C4×D6⋊C4central extension (φ=1)96C2^2.47(C4oD12)192,497
C22.48(C4○D12) = (C2×C4)⋊6D12central extension (φ=1)96C2^2.48(C4oD12)192,498
C22.49(C4○D12) = (C2×C42)⋊3S3central extension (φ=1)96C2^2.49(C4oD12)192,499
C22.50(C4○D12) = C24.14D6central extension (φ=1)96C2^2.50(C4oD12)192,503
C22.51(C4○D12) = C24.15D6central extension (φ=1)96C2^2.51(C4oD12)192,504
C22.52(C4○D12) = C24.19D6central extension (φ=1)96C2^2.52(C4oD12)192,510
C22.53(C4○D12) = C24.23D6central extension (φ=1)96C2^2.53(C4oD12)192,515
C22.54(C4○D12) = C24.24D6central extension (φ=1)96C2^2.54(C4oD12)192,516
C22.55(C4○D12) = Dic3⋊(C4⋊C4)central extension (φ=1)192C2^2.55(C4oD12)192,535
C22.56(C4○D12) = C6.67(C4×D4)central extension (φ=1)192C2^2.56(C4oD12)192,537
C22.57(C4○D12) = C4⋊C4⋊5Dic3central extension (φ=1)192C2^2.57(C4oD12)192,539
C22.58(C4○D12) = D6⋊C4⋊6C4central extension (φ=1)96C2^2.58(C4oD12)192,548
C22.59(C4○D12) = D6⋊C4⋊7C4central extension (φ=1)96C2^2.59(C4oD12)192,549
C22.60(C4○D12) = C4×C6.D4central extension (φ=1)96C2^2.60(C4oD12)192,768
C22.61(C4○D12) = C24.73D6central extension (φ=1)96C2^2.61(C4oD12)192,769
C22.62(C4○D12) = C24.74D6central extension (φ=1)96C2^2.62(C4oD12)192,770
C22.63(C4○D12) = C24.75D6central extension (φ=1)96C2^2.63(C4oD12)192,771
C22.64(C4○D12) = C24.76D6central extension (φ=1)96C2^2.64(C4oD12)192,772
C22.65(C4○D12) = C2×C4×Dic6central extension (φ=1)192C2^2.65(C4oD12)192,1026
C22.66(C4○D12) = C2×C12.6Q8central extension (φ=1)192C2^2.66(C4oD12)192,1028
C22.67(C4○D12) = C2×C42⋊2S3central extension (φ=1)96C2^2.67(C4oD12)192,1031
C22.68(C4○D12) = C2×C4×D12central extension (φ=1)96C2^2.68(C4oD12)192,1032
C22.69(C4○D12) = C2×C42⋊7S3central extension (φ=1)96C2^2.69(C4oD12)192,1035
C22.70(C4○D12) = C2×C42⋊3S3central extension (φ=1)96C2^2.70(C4oD12)192,1037
C22.71(C4○D12) = C2×C23.8D6central extension (φ=1)96C2^2.71(C4oD12)192,1041
C22.72(C4○D12) = C2×C23.9D6central extension (φ=1)96C2^2.72(C4oD12)192,1047
C22.73(C4○D12) = C2×Dic3⋊D4central extension (φ=1)96C2^2.73(C4oD12)192,1048
C22.74(C4○D12) = C2×C23.11D6central extension (φ=1)96C2^2.74(C4oD12)192,1050
C22.75(C4○D12) = C2×Dic3.Q8central extension (φ=1)192C2^2.75(C4oD12)192,1057
C22.76(C4○D12) = C2×D6.D4central extension (φ=1)96C2^2.76(C4oD12)192,1064
C22.77(C4○D12) = C2×D6⋊Q8central extension (φ=1)96C2^2.77(C4oD12)192,1067
C22.78(C4○D12) = C2×C4⋊C4⋊S3central extension (φ=1)96C2^2.78(C4oD12)192,1071
C22.79(C4○D12) = C2×C12.48D4central extension (φ=1)96C2^2.79(C4oD12)192,1343
C22.80(C4○D12) = C2×C23.26D6central extension (φ=1)96C2^2.80(C4oD12)192,1345
C22.81(C4○D12) = C2×C4×C3⋊D4central extension (φ=1)96C2^2.81(C4oD12)192,1347
C22.82(C4○D12) = C2×C23.28D6central extension (φ=1)96C2^2.82(C4oD12)192,1348
C22.83(C4○D12) = C2×C12⋊7D4central extension (φ=1)96C2^2.83(C4oD12)192,1349
C22.84(C4○D12) = C6.(C4⋊Q8)central stem extension (φ=1)192C2^2.84(C4oD12)192,216
C22.85(C4○D12) = (C2×Dic3).9D4central stem extension (φ=1)192C2^2.85(C4oD12)192,217
C22.86(C4○D12) = (C2×C4).17D12central stem extension (φ=1)192C2^2.86(C4oD12)192,218
C22.87(C4○D12) = (C2×C4).Dic6central stem extension (φ=1)192C2^2.87(C4oD12)192,219
C22.88(C4○D12) = (C22×C4).30D6central stem extension (φ=1)192C2^2.88(C4oD12)192,221
C22.89(C4○D12) = C6.C22≀C2central stem extension (φ=1)96C2^2.89(C4oD12)192,231
C22.90(C4○D12) = (C22×S3)⋊Q8central stem extension (φ=1)96C2^2.90(C4oD12)192,232
C22.91(C4○D12) = (C2×C4).21D12central stem extension (φ=1)96C2^2.91(C4oD12)192,233
C22.92(C4○D12) = C6.(C4⋊D4)central stem extension (φ=1)96C2^2.92(C4oD12)192,234
C22.93(C4○D12) = (C22×C4).37D6central stem extension (φ=1)96C2^2.93(C4oD12)192,235
C22.94(C4○D12) = C23⋊2Dic6central stem extension (φ=1)96C2^2.94(C4oD12)192,506
C22.95(C4○D12) = C24.17D6central stem extension (φ=1)96C2^2.95(C4oD12)192,507
C22.96(C4○D12) = C24.18D6central stem extension (φ=1)96C2^2.96(C4oD12)192,508
C22.97(C4○D12) = C24.20D6central stem extension (φ=1)96C2^2.97(C4oD12)192,511
C22.98(C4○D12) = C24.21D6central stem extension (φ=1)96C2^2.98(C4oD12)192,512
C22.99(C4○D12) = C24.25D6central stem extension (φ=1)96C2^2.99(C4oD12)192,518
C22.100(C4○D12) = C23⋊3D12central stem extension (φ=1)96C2^2.100(C4oD12)192,519
C22.101(C4○D12) = C24.27D6central stem extension (φ=1)96C2^2.101(C4oD12)192,520
C22.102(C4○D12) = (C2×Dic3)⋊Q8central stem extension (φ=1)192C2^2.102(C4oD12)192,538
C22.103(C4○D12) = (C2×C4).44D12central stem extension (φ=1)192C2^2.103(C4oD12)192,540
C22.104(C4○D12) = (C2×C12).54D4central stem extension (φ=1)192C2^2.104(C4oD12)192,541
C22.105(C4○D12) = (C2×Dic3).Q8central stem extension (φ=1)192C2^2.105(C4oD12)192,542
C22.106(C4○D12) = (C2×C12).288D4central stem extension (φ=1)192C2^2.106(C4oD12)192,544
C22.107(C4○D12) = (C2×C12).55D4central stem extension (φ=1)192C2^2.107(C4oD12)192,545
C22.108(C4○D12) = (C2×C4)⋊3D12central stem extension (φ=1)96C2^2.108(C4oD12)192,550
C22.109(C4○D12) = (C2×C12).289D4central stem extension (φ=1)96C2^2.109(C4oD12)192,551
C22.110(C4○D12) = (C2×C12).290D4central stem extension (φ=1)96C2^2.110(C4oD12)192,552
C22.111(C4○D12) = (C2×C12).56D4central stem extension (φ=1)96C2^2.111(C4oD12)192,553

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