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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C12⋊S3

Direct product G=N×Q with N=C2 and Q=C2×C12⋊S3
dρLabelID
C22×C12⋊S3144C2^2xC12:S3288,1005


Non-split extensions G=N.Q with N=C2 and Q=C2×C12⋊S3
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C12⋊S3) = C4×C12⋊S3central extension (φ=1)144C2.1(C2xC12:S3)288,730
C2.2(C2×C12⋊S3) = C2×C12⋊Dic3central extension (φ=1)288C2.2(C2xC12:S3)288,782
C2.3(C2×C12⋊S3) = C2×C6.11D12central extension (φ=1)144C2.3(C2xC12:S3)288,784
C2.4(C2×C12⋊S3) = C12⋊6Dic6central stem extension (φ=1)288C2.4(C2xC12:S3)288,726
C2.5(C2×C12⋊S3) = C12⋊4D12central stem extension (φ=1)144C2.5(C2xC12:S3)288,731
C2.6(C2×C12⋊S3) = C122⋊6C2central stem extension (φ=1)144C2.6(C2xC12:S3)288,732
C2.7(C2×C12⋊S3) = C62⋊12D4central stem extension (φ=1)72C2.7(C2xC12:S3)288,739
C2.8(C2×C12⋊S3) = C62.69D4central stem extension (φ=1)144C2.8(C2xC12:S3)288,743
C2.9(C2×C12⋊S3) = C12⋊3D12central stem extension (φ=1)144C2.9(C2xC12:S3)288,752
C2.10(C2×C12⋊S3) = C12.31D12central stem extension (φ=1)144C2.10(C2xC12:S3)288,754
C2.11(C2×C12⋊S3) = C2×C24⋊2S3central stem extension (φ=1)144C2.11(C2xC12:S3)288,759
C2.12(C2×C12⋊S3) = C2×C32⋊5D8central stem extension (φ=1)144C2.12(C2xC12:S3)288,760
C2.13(C2×C12⋊S3) = C24.78D6central stem extension (φ=1)144C2.13(C2xC12:S3)288,761
C2.14(C2×C12⋊S3) = C2×C32⋊5Q16central stem extension (φ=1)288C2.14(C2xC12:S3)288,762
C2.15(C2×C12⋊S3) = C24⋊3D6central stem extension (φ=1)72C2.15(C2xC12:S3)288,765
C2.16(C2×C12⋊S3) = C24.5D6central stem extension (φ=1)144C2.16(C2xC12:S3)288,766
C2.17(C2×C12⋊S3) = C62⋊19D4central stem extension (φ=1)144C2.17(C2xC12:S3)288,787

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