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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8⋊3S3

Direct product G=N×Q with N=C4 and Q=Q8⋊3S3
dρLabelID
C4×Q8⋊3S396C4xQ8:3S3192,1132

Semidirect products G=N:Q with N=C4 and Q=Q8⋊3S3
extensionφ:Q→Aut NdρLabelID
C4⋊1(Q8⋊3S3) = C42.240D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4:1(Q8:3S3)192,1284
C4⋊2(Q8⋊3S3) = D12⋊12D4φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4:2(Q8:3S3)192,1285
C4⋊3(Q8⋊3S3) = Q8⋊7D12φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4:3(Q8:3S3)192,1136

Non-split extensions G=N.Q with N=C4 and Q=Q8⋊3S3
extensionφ:Q→Aut NdρLabelID
C4.1(Q8⋊3S3) = Dic3⋊8SD16φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.1(Q8:3S3)192,411
C4.2(Q8⋊3S3) = Dic12⋊9C4φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C4192C4.2(Q8:3S3)192,412
C4.3(Q8⋊3S3) = C8⋊8D12φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.3(Q8:3S3)192,423
C4.4(Q8⋊3S3) = C24⋊7D4φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.4(Q8:3S3)192,424
C4.5(Q8⋊3S3) = C8.2D12φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.5(Q8:3S3)192,426
C4.6(Q8⋊3S3) = D24⋊9C4φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.6(Q8:3S3)192,428
C4.7(Q8⋊3S3) = Dic3⋊5D8φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.7(Q8:3S3)192,431
C4.8(Q8⋊3S3) = Dic3⋊5Q16φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C4192C4.8(Q8:3S3)192,432
C4.9(Q8⋊3S3) = D6⋊2D8φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.9(Q8:3S3)192,442
C4.10(Q8⋊3S3) = C8⋊3D12φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.10(Q8:3S3)192,445
C4.11(Q8⋊3S3) = D6⋊2Q16φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.11(Q8:3S3)192,446
C4.12(Q8⋊3S3) = C24⋊C2⋊C4φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.12(Q8:3S3)192,448
C4.13(Q8⋊3S3) = C42.70D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.13(Q8:3S3)192,626
C4.14(Q8⋊3S3) = C42.216D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.14(Q8:3S3)192,627
C4.15(Q8⋊3S3) = C42.71D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C4192C4.15(Q8:3S3)192,628
C4.16(Q8⋊3S3) = C12.D8φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.16(Q8:3S3)192,647
C4.17(Q8⋊3S3) = C42.82D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.17(Q8:3S3)192,648
C4.18(Q8⋊3S3) = C12.Q16φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C4192C4.18(Q8:3S3)192,652
C4.19(Q8⋊3S3) = C42.237D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.19(Q8:3S3)192,1250
C4.20(Q8⋊3S3) = C42.155D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.20(Q8:3S3)192,1256
C4.21(Q8⋊3S3) = C42.156D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.21(Q8:3S3)192,1257
C4.22(Q8⋊3S3) = C42.241D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.22(Q8:3S3)192,1287
C4.23(Q8⋊3S3) = C42.178D6φ: Q8⋊3S3/C4×S3 → C2 ⊆ Aut C496C4.23(Q8:3S3)192,1292
C4.24(Q8⋊3S3) = D6.2SD16φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.24(Q8:3S3)192,421
C4.25(Q8⋊3S3) = D6.4SD16φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.25(Q8:3S3)192,422
C4.26(Q8⋊3S3) = C4.Q8⋊S3φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.26(Q8:3S3)192,425
C4.27(Q8⋊3S3) = C6.(C4○D8)φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.27(Q8:3S3)192,427
C4.28(Q8⋊3S3) = D6.5D8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.28(Q8:3S3)192,441
C4.29(Q8⋊3S3) = D6.2Q16φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.29(Q8:3S3)192,443
C4.30(Q8⋊3S3) = C2.D8⋊S3φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.30(Q8:3S3)192,444
C4.31(Q8⋊3S3) = C2.D8⋊7S3φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.31(Q8:3S3)192,447
C4.32(Q8⋊3S3) = Dic6.4Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C4192C4.32(Q8:3S3)192,622
C4.33(Q8⋊3S3) = D12.4Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.33(Q8:3S3)192,625
C4.34(Q8⋊3S3) = D12⋊5Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.34(Q8:3S3)192,643
C4.35(Q8⋊3S3) = D12⋊6Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.35(Q8:3S3)192,646
C4.36(Q8⋊3S3) = Dic6⋊5Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C4192C4.36(Q8:3S3)192,650
C4.37(Q8⋊3S3) = Dic6⋊6Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C4192C4.37(Q8:3S3)192,653
C4.38(Q8⋊3S3) = C42.152D6φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.38(Q8:3S3)192,1253
C4.39(Q8⋊3S3) = C42.153D6φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.39(Q8:3S3)192,1254
C4.40(Q8⋊3S3) = D12⋊9Q8φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.40(Q8:3S3)192,1289
C4.41(Q8⋊3S3) = C42.177D6φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.41(Q8:3S3)192,1291
C4.42(Q8⋊3S3) = C42.179D6φ: Q8⋊3S3/D12 → C2 ⊆ Aut C496C4.42(Q8:3S3)192,1293
C4.43(Q8⋊3S3) = C12⋊SD16φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.43(Q8:3S3)192,400
C4.44(Q8⋊3S3) = C4⋊D24φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.44(Q8:3S3)192,402
C4.45(Q8⋊3S3) = D12.19D4φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.45(Q8:3S3)192,403
C4.46(Q8⋊3S3) = C42.36D6φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.46(Q8:3S3)192,404
C4.47(Q8⋊3S3) = Dic6⋊8D4φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.47(Q8:3S3)192,407
C4.48(Q8⋊3S3) = C4⋊Dic12φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C4192C4.48(Q8:3S3)192,408
C4.49(Q8⋊3S3) = Q8⋊7Dic6φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C4192C4.49(Q8:3S3)192,1129
C4.50(Q8⋊3S3) = C42.135D6φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.50(Q8:3S3)192,1143
C4.51(Q8⋊3S3) = C42.136D6φ: Q8⋊3S3/C3×Q8 → C2 ⊆ Aut C496C4.51(Q8:3S3)192,1144
C4.52(Q8⋊3S3) = C42.200D6central extension (φ=1)96C4.52(Q8:3S3)192,392
C4.53(Q8⋊3S3) = D12⋊C8central extension (φ=1)96C4.53(Q8:3S3)192,393
C4.54(Q8⋊3S3) = C42.202D6central extension (φ=1)96C4.54(Q8:3S3)192,394
C4.55(Q8⋊3S3) = D6⋊3M4(2)central extension (φ=1)96C4.55(Q8:3S3)192,395
C4.56(Q8⋊3S3) = C12⋊2M4(2)central extension (φ=1)96C4.56(Q8:3S3)192,397
C4.57(Q8⋊3S3) = C42.31D6central extension (φ=1)96C4.57(Q8:3S3)192,399
C4.58(Q8⋊3S3) = Q8×C3⋊C8central extension (φ=1)192C4.58(Q8:3S3)192,582
C4.59(Q8⋊3S3) = C42.210D6central extension (φ=1)192C4.59(Q8:3S3)192,583
C4.60(Q8⋊3S3) = C42.131D6central extension (φ=1)96C4.60(Q8:3S3)192,1139

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