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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C3⋊S3

Direct product G=N×Q with N=C4 and Q=S3×C3⋊S3
dρLabelID
C4×S3×C3⋊S372C4xS3xC3:S3432,670

Semidirect products G=N:Q with N=C4 and Q=S3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C4⋊1(S3×C3⋊S3) = S3×C12⋊S3φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C472C4:1(S3xC3:S3)432,671
C4⋊2(S3×C3⋊S3) = C3⋊S3×D12φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C472C4:2(S3xC3:S3)432,672
C4⋊3(S3×C3⋊S3) = C12⋊S32φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C472C4:3(S3xC3:S3)432,673

Non-split extensions G=N.Q with N=C4 and Q=S3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C4.1(S3×C3⋊S3) = C33⋊8D8φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C472C4.1(S3xC3:S3)432,438
C4.2(S3×C3⋊S3) = C33⋊16SD16φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C4144C4.2(S3xC3:S3)432,443
C4.3(S3×C3⋊S3) = C33⋊17SD16φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C472C4.3(S3xC3:S3)432,444
C4.4(S3×C3⋊S3) = C33⋊8Q16φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C4144C4.4(S3xC3:S3)432,447
C4.5(S3×C3⋊S3) = S3×C32⋊4Q8φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C4144C4.5(S3xC3:S3)432,660
C4.6(S3×C3⋊S3) = C12.57S32φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C4144C4.6(S3xC3:S3)432,668
C4.7(S3×C3⋊S3) = C12.58S32φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C472C4.7(S3xC3:S3)432,669
C4.8(S3×C3⋊S3) = C33⋊7D8φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C472C4.8(S3xC3:S3)432,437
C4.9(S3×C3⋊S3) = C33⋊14SD16φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4144C4.9(S3xC3:S3)432,441
C4.10(S3×C3⋊S3) = C33⋊15SD16φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C472C4.10(S3xC3:S3)432,442
C4.11(S3×C3⋊S3) = C33⋊7Q16φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4144C4.11(S3xC3:S3)432,446
C4.12(S3×C3⋊S3) = (C3×D12)⋊S3φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4144C4.12(S3xC3:S3)432,661
C4.13(S3×C3⋊S3) = C3⋊S3×Dic6φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4144C4.13(S3xC3:S3)432,663
C4.14(S3×C3⋊S3) = C12.40S32φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C472C4.14(S3xC3:S3)432,665
C4.15(S3×C3⋊S3) = C33⋊6D8φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C4144C4.15(S3xC3:S3)432,436
C4.16(S3×C3⋊S3) = C33⋊12SD16φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C4144C4.16(S3xC3:S3)432,439
C4.17(S3×C3⋊S3) = C33⋊13SD16φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C4144C4.17(S3xC3:S3)432,440
C4.18(S3×C3⋊S3) = C33⋊6Q16φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C4144C4.18(S3xC3:S3)432,445
C4.19(S3×C3⋊S3) = D12⋊(C3⋊S3)φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C472C4.19(S3xC3:S3)432,662
C4.20(S3×C3⋊S3) = C12.39S32φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C472C4.20(S3xC3:S3)432,664
C4.21(S3×C3⋊S3) = C32⋊9(S3×Q8)φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C472C4.21(S3xC3:S3)432,666
C4.22(S3×C3⋊S3) = S3×C32⋊4C8central extension (φ=1)144C4.22(S3xC3:S3)432,430
C4.23(S3×C3⋊S3) = C3⋊S3×C3⋊C8central extension (φ=1)144C4.23(S3xC3:S3)432,431
C4.24(S3×C3⋊S3) = C12.69S32central extension (φ=1)72C4.24(S3xC3:S3)432,432
C4.25(S3×C3⋊S3) = C33⋊7M4(2)central extension (φ=1)144C4.25(S3xC3:S3)432,433
C4.26(S3×C3⋊S3) = C33⋊8M4(2)central extension (φ=1)144C4.26(S3xC3:S3)432,434
C4.27(S3×C3⋊S3) = C33⋊9M4(2)central extension (φ=1)72C4.27(S3xC3:S3)432,435
C4.28(S3×C3⋊S3) = C12.73S32central extension (φ=1)72C4.28(S3xC3:S3)432,667

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