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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×D12

Direct product G=N×Q with N=C4 and Q=C2×D12
dρLabelID
C2×C4×D1296C2xC4xD12192,1032

Semidirect products G=N:Q with N=C4 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×D12) = D4×D12φ: C2×D12/D12 → C2 ⊆ Aut C448C4:1(C2xD12)192,1108
C4⋊2(C2×D12) = C2×C4⋊D12φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4:2(C2xD12)192,1034
C4⋊3(C2×D12) = C2×C12⋊D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4:3(C2xD12)192,1065

Non-split extensions G=N.Q with N=C4 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C4.1(C2×D12) = D4⋊D12φ: C2×D12/D12 → C2 ⊆ Aut C448C4.1(C2xD12)192,332
C4.2(C2×D12) = D6⋊5SD16φ: C2×D12/D12 → C2 ⊆ Aut C448C4.2(C2xD12)192,335
C4.3(C2×D12) = D4⋊3D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.3(C2xD12)192,340
C4.4(C2×D12) = D4.D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.4(C2xD12)192,342
C4.5(C2×D12) = Q8⋊3D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.5(C2xD12)192,365
C4.6(C2×D12) = Q8.11D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.6(C2xD12)192,367
C4.7(C2×D12) = D6⋊Q16φ: C2×D12/D12 → C2 ⊆ Aut C496C4.7(C2xD12)192,368
C4.8(C2×D12) = Q8⋊4D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.8(C2xD12)192,369
C4.9(C2×D12) = Q8⋊5D12φ: C2×D12/D12 → C2 ⊆ Aut C4244+C4.9(C2xD12)192,381
C4.10(C2×D12) = C42⋊5D6φ: C2×D12/D12 → C2 ⊆ Aut C4484C4.10(C2xD12)192,384
C4.11(C2×D12) = Q8.14D12φ: C2×D12/D12 → C2 ⊆ Aut C4484-C4.11(C2xD12)192,385
C4.12(C2×D12) = D4.10D12φ: C2×D12/D12 → C2 ⊆ Aut C4484C4.12(C2xD12)192,386
C4.13(C2×D12) = C12⋊7D8φ: C2×D12/D12 → C2 ⊆ Aut C496C4.13(C2xD12)192,574
C4.14(C2×D12) = D4.1D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.14(C2xD12)192,575
C4.15(C2×D12) = D4.2D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.15(C2xD12)192,578
C4.16(C2×D12) = Q8⋊2D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.16(C2xD12)192,586
C4.17(C2×D12) = Q8.6D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.17(C2xD12)192,587
C4.18(C2×D12) = C12⋊7Q16φ: C2×D12/D12 → C2 ⊆ Aut C4192C4.18(C2xD12)192,590
C4.19(C2×D12) = Q8.8D12φ: C2×D12/D12 → C2 ⊆ Aut C4484C4.19(C2xD12)192,700
C4.20(C2×D12) = Q8.9D12φ: C2×D12/D12 → C2 ⊆ Aut C4484+C4.20(C2xD12)192,701
C4.21(C2×D12) = Q8.10D12φ: C2×D12/D12 → C2 ⊆ Aut C4964-C4.21(C2xD12)192,702
C4.22(C2×D12) = D4⋊5D12φ: C2×D12/D12 → C2 ⊆ Aut C448C4.22(C2xD12)192,1113
C4.23(C2×D12) = D4⋊6D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.23(C2xD12)192,1114
C4.24(C2×D12) = Q8×D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.24(C2xD12)192,1134
C4.25(C2×D12) = Q8⋊6D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.25(C2xD12)192,1135
C4.26(C2×D12) = Q8⋊7D12φ: C2×D12/D12 → C2 ⊆ Aut C496C4.26(C2xD12)192,1136
C4.27(C2×D12) = D4.11D12φ: C2×D12/D12 → C2 ⊆ Aut C4484C4.27(C2xD12)192,1310
C4.28(C2×D12) = D4.12D12φ: C2×D12/D12 → C2 ⊆ Aut C4484+C4.28(C2xD12)192,1311
C4.29(C2×D12) = D4.13D12φ: C2×D12/D12 → C2 ⊆ Aut C4964-C4.29(C2xD12)192,1312
C4.30(C2×D12) = C8⋊5D12φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.30(C2xD12)192,252
C4.31(C2×D12) = C12⋊4D8φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.31(C2xD12)192,254
C4.32(C2×D12) = C8.8D12φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.32(C2xD12)192,255
C4.33(C2×D12) = C12⋊4Q16φ: C2×D12/C2×C12 → C2 ⊆ Aut C4192C4.33(C2xD12)192,258
C4.34(C2×D12) = C8⋊D12φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.34(C2xD12)192,271
C4.35(C2×D12) = C8.D12φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.35(C2xD12)192,274
C4.36(C2×D12) = C2×D48φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.36(C2xD12)192,461
C4.37(C2×D12) = C2×C48⋊C2φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.37(C2xD12)192,462
C4.38(C2×D12) = D48⋊7C2φ: C2×D12/C2×C12 → C2 ⊆ Aut C4962C4.38(C2xD12)192,463
C4.39(C2×D12) = C2×Dic24φ: C2×D12/C2×C12 → C2 ⊆ Aut C4192C4.39(C2xD12)192,464
C4.40(C2×D12) = C16⋊D6φ: C2×D12/C2×C12 → C2 ⊆ Aut C4484+C4.40(C2xD12)192,467
C4.41(C2×D12) = C16.D6φ: C2×D12/C2×C12 → C2 ⊆ Aut C4964-C4.41(C2xD12)192,468
C4.42(C2×D12) = C2×C12⋊2Q8φ: C2×D12/C2×C12 → C2 ⊆ Aut C4192C4.42(C2xD12)192,1027
C4.43(C2×D12) = C2×C42⋊7S3φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.43(C2xD12)192,1035
C4.44(C2×D12) = C22×C24⋊C2φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.44(C2xD12)192,1298
C4.45(C2×D12) = C22×D24φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.45(C2xD12)192,1299
C4.46(C2×D12) = C2×C4○D24φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.46(C2xD12)192,1300
C4.47(C2×D12) = C22×Dic12φ: C2×D12/C2×C12 → C2 ⊆ Aut C4192C4.47(C2xD12)192,1301
C4.48(C2×D12) = C2×C8⋊D6φ: C2×D12/C2×C12 → C2 ⊆ Aut C448C4.48(C2xD12)192,1305
C4.49(C2×D12) = C2×C8.D6φ: C2×D12/C2×C12 → C2 ⊆ Aut C496C4.49(C2xD12)192,1306
C4.50(C2×D12) = C8⋊8D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.50(C2xD12)192,423
C4.51(C2×D12) = C24⋊7D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.51(C2xD12)192,424
C4.52(C2×D12) = C8.2D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.52(C2xD12)192,426
C4.53(C2×D12) = D6⋊2D8φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.53(C2xD12)192,442
C4.54(C2×D12) = C8⋊3D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.54(C2xD12)192,445
C4.55(C2×D12) = D6⋊2Q16φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.55(C2xD12)192,446
C4.56(C2×D12) = C24.18D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C4964-C4.56(C2xD12)192,455
C4.57(C2×D12) = C24.19D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C4484+C4.57(C2xD12)192,456
C4.58(C2×D12) = C24.42D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C4484C4.58(C2xD12)192,457
C4.59(C2×D12) = C2×C6.D8φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.59(C2xD12)192,524
C4.60(C2×D12) = C4○D12⋊C4φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.60(C2xD12)192,525
C4.61(C2×D12) = C2×C6.SD16φ: C2×D12/C22×S3 → C2 ⊆ Aut C4192C4.61(C2xD12)192,528
C4.62(C2×D12) = C4⋊C4⋊36D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C448C4.62(C2xD12)192,560
C4.63(C2×D12) = C4.(C2×D12)φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.63(C2xD12)192,561
C4.64(C2×D12) = C4⋊C4.237D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.64(C2xD12)192,563
C4.65(C2×D12) = C2×C12.46D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C448C4.65(C2xD12)192,689
C4.66(C2×D12) = M4(2).31D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C4484C4.66(C2xD12)192,691
C4.67(C2×D12) = C2×C12.47D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.67(C2xD12)192,695
C4.68(C2×D12) = C2×C4.D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.68(C2xD12)192,1068
C4.69(C2×D12) = C6.2+ 1+4φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.69(C2xD12)192,1069
C4.70(C2×D12) = C42⋊10D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C448C4.70(C2xD12)192,1083
C4.71(C2×D12) = C42⋊11D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C448C4.71(C2xD12)192,1084
C4.72(C2×D12) = C42.92D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C496C4.72(C2xD12)192,1085
C4.73(C2×D12) = C24.9C23φ: C2×D12/C22×S3 → C2 ⊆ Aut C4484C4.73(C2xD12)192,1307
C4.74(C2×D12) = C8×D12central extension (φ=1)96C4.74(C2xD12)192,245
C4.75(C2×D12) = C8⋊6D12central extension (φ=1)96C4.75(C2xD12)192,247
C4.76(C2×D12) = D24⋊11C4central extension (φ=1)482C4.76(C2xD12)192,259
C4.77(C2×D12) = C8⋊9D12central extension (φ=1)96C4.77(C2xD12)192,265
C4.78(C2×D12) = D24⋊4C4central extension (φ=1)484C4.78(C2xD12)192,276
C4.79(C2×D12) = C2×C12⋊C8central extension (φ=1)192C4.79(C2xD12)192,482
C4.80(C2×D12) = C12⋊7M4(2)central extension (φ=1)96C4.80(C2xD12)192,483
C4.81(C2×D12) = C2×C42⋊4S3central extension (φ=1)48C4.81(C2xD12)192,486
C4.82(C2×D12) = C42.43D6central extension (φ=1)96C4.82(C2xD12)192,558
C4.83(C2×D12) = C42⋊6D6central extension (φ=1)484C4.83(C2xD12)192,564
C4.84(C2×D12) = C2×C24.C4central extension (φ=1)96C4.84(C2xD12)192,666
C4.85(C2×D12) = C2×D6⋊C8central extension (φ=1)96C4.85(C2xD12)192,667
C4.86(C2×D12) = (C22×C8)⋊7S3central extension (φ=1)96C4.86(C2xD12)192,669
C4.87(C2×D12) = C23.9Dic6central extension (φ=1)484C4.87(C2xD12)192,684
C4.88(C2×D12) = D6⋊6M4(2)central extension (φ=1)48C4.88(C2xD12)192,685
C4.89(C2×D12) = D6⋊C8⋊40C2central extension (φ=1)96C4.89(C2xD12)192,688
C4.90(C2×D12) = C42.276D6central extension (φ=1)96C4.90(C2xD12)192,1036

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