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Extensions 1→N→G→Q→1 with N=C2 and Q=C23×C3⋊S3

Direct product G=N×Q with N=C2 and Q=C23×C3⋊S3
dρLabelID
C24×C3⋊S3144C2^4xC3:S3288,1044


Non-split extensions G=N.Q with N=C2 and Q=C23×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C2.1(C23×C3⋊S3) = C22×C4×C3⋊S3central extension (φ=1)144C2.1(C2^3xC3:S3)288,1004
C2.2(C23×C3⋊S3) = C23×C3⋊Dic3central extension (φ=1)288C2.2(C2^3xC3:S3)288,1016
C2.3(C23×C3⋊S3) = C22×C32⋊4Q8central stem extension (φ=1)288C2.3(C2^3xC3:S3)288,1003
C2.4(C23×C3⋊S3) = C22×C12⋊S3central stem extension (φ=1)144C2.4(C2^3xC3:S3)288,1005
C2.5(C23×C3⋊S3) = C2×C12.59D6central stem extension (φ=1)144C2.5(C2^3xC3:S3)288,1006
C2.6(C23×C3⋊S3) = C2×D4×C3⋊S3central stem extension (φ=1)72C2.6(C2^3xC3:S3)288,1007
C2.7(C23×C3⋊S3) = C2×C12.D6central stem extension (φ=1)144C2.7(C2^3xC3:S3)288,1008
C2.8(C23×C3⋊S3) = C32⋊82+ 1+4central stem extension (φ=1)72C2.8(C2^3xC3:S3)288,1009
C2.9(C23×C3⋊S3) = C2×Q8×C3⋊S3central stem extension (φ=1)144C2.9(C2^3xC3:S3)288,1010
C2.10(C23×C3⋊S3) = C2×C12.26D6central stem extension (φ=1)144C2.10(C2^3xC3:S3)288,1011
C2.11(C23×C3⋊S3) = C32⋊72- 1+4central stem extension (φ=1)144C2.11(C2^3xC3:S3)288,1012
C2.12(C23×C3⋊S3) = C4○D4×C3⋊S3central stem extension (φ=1)72C2.12(C2^3xC3:S3)288,1013
C2.13(C23×C3⋊S3) = C62.154C23central stem extension (φ=1)72C2.13(C2^3xC3:S3)288,1014
C2.14(C23×C3⋊S3) = C32⋊92- 1+4central stem extension (φ=1)144C2.14(C2^3xC3:S3)288,1015
C2.15(C23×C3⋊S3) = C22×C32⋊7D4central stem extension (φ=1)144C2.15(C2^3xC3:S3)288,1017

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