Extensions 1→N→G→Q→1 with N=C2 and Q=C2×S3×C3⋊S3

Direct product G=N×Q with N=C2 and Q=C2×S3×C3⋊S3
dρLabelID
C22×S3×C3⋊S372C2^2xS3xC3:S3432,768


Non-split extensions G=N.Q with N=C2 and Q=C2×S3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C2.1(C2×S3×C3⋊S3) = C4×S3×C3⋊S3central extension (φ=1)72C2.1(C2xS3xC3:S3)432,670
C2.2(C2×S3×C3⋊S3) = C2×S3×C3⋊Dic3central extension (φ=1)144C2.2(C2xS3xC3:S3)432,674
C2.3(C2×S3×C3⋊S3) = C2×Dic3×C3⋊S3central extension (φ=1)144C2.3(C2xS3xC3:S3)432,677
C2.4(C2×S3×C3⋊S3) = C2×C338(C2×C4)central extension (φ=1)72C2.4(C2xS3xC3:S3)432,679
C2.5(C2×S3×C3⋊S3) = S3×C324Q8central stem extension (φ=1)144C2.5(C2xS3xC3:S3)432,660
C2.6(C2×S3×C3⋊S3) = (C3×D12)⋊S3central stem extension (φ=1)144C2.6(C2xS3xC3:S3)432,661
C2.7(C2×S3×C3⋊S3) = D12⋊(C3⋊S3)central stem extension (φ=1)72C2.7(C2xS3xC3:S3)432,662
C2.8(C2×S3×C3⋊S3) = C3⋊S3×Dic6central stem extension (φ=1)144C2.8(C2xS3xC3:S3)432,663
C2.9(C2×S3×C3⋊S3) = C12.39S32central stem extension (φ=1)72C2.9(C2xS3xC3:S3)432,664
C2.10(C2×S3×C3⋊S3) = C12.40S32central stem extension (φ=1)72C2.10(C2xS3xC3:S3)432,665
C2.11(C2×S3×C3⋊S3) = C329(S3×Q8)central stem extension (φ=1)72C2.11(C2xS3xC3:S3)432,666
C2.12(C2×S3×C3⋊S3) = C12.73S32central stem extension (φ=1)72C2.12(C2xS3xC3:S3)432,667
C2.13(C2×S3×C3⋊S3) = C12.57S32central stem extension (φ=1)144C2.13(C2xS3xC3:S3)432,668
C2.14(C2×S3×C3⋊S3) = C12.58S32central stem extension (φ=1)72C2.14(C2xS3xC3:S3)432,669
C2.15(C2×S3×C3⋊S3) = S3×C12⋊S3central stem extension (φ=1)72C2.15(C2xS3xC3:S3)432,671
C2.16(C2×S3×C3⋊S3) = C3⋊S3×D12central stem extension (φ=1)72C2.16(C2xS3xC3:S3)432,672
C2.17(C2×S3×C3⋊S3) = C12⋊S32central stem extension (φ=1)72C2.17(C2xS3xC3:S3)432,673
C2.18(C2×S3×C3⋊S3) = C62.90D6central stem extension (φ=1)72C2.18(C2xS3xC3:S3)432,675
C2.19(C2×S3×C3⋊S3) = C62.91D6central stem extension (φ=1)72C2.19(C2xS3xC3:S3)432,676
C2.20(C2×S3×C3⋊S3) = C62.93D6central stem extension (φ=1)72C2.20(C2xS3xC3:S3)432,678
C2.21(C2×S3×C3⋊S3) = C2×C336D4central stem extension (φ=1)144C2.21(C2xS3xC3:S3)432,680
C2.22(C2×S3×C3⋊S3) = C2×C337D4central stem extension (φ=1)72C2.22(C2xS3xC3:S3)432,681
C2.23(C2×S3×C3⋊S3) = C2×C338D4central stem extension (φ=1)72C2.23(C2xS3xC3:S3)432,682
C2.24(C2×S3×C3⋊S3) = C2×C334Q8central stem extension (φ=1)144C2.24(C2xS3xC3:S3)432,683
C2.25(C2×S3×C3⋊S3) = S3×C327D4central stem extension (φ=1)72C2.25(C2xS3xC3:S3)432,684
C2.26(C2×S3×C3⋊S3) = C3⋊S3×C3⋊D4central stem extension (φ=1)72C2.26(C2xS3xC3:S3)432,685
C2.27(C2×S3×C3⋊S3) = C6223D6central stem extension (φ=1)36C2.27(C2xS3xC3:S3)432,686

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