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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C6×C12

Direct product G=N×Q with N=C2 and Q=C2×C6×C12
dρLabelID
C22×C6×C12288C2^2xC6xC12288,1018


Non-split extensions G=N.Q with N=C2 and Q=C2×C6×C12
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C6×C12) = C22⋊C4×C3×C6central stem extension (φ=1)144C2.1(C2xC6xC12)288,812
C2.2(C2×C6×C12) = C4⋊C4×C3×C6central stem extension (φ=1)288C2.2(C2xC6xC12)288,813
C2.3(C2×C6×C12) = C32×C42⋊C2central stem extension (φ=1)144C2.3(C2xC6xC12)288,814
C2.4(C2×C6×C12) = D4×C3×C12central stem extension (φ=1)144C2.4(C2xC6xC12)288,815
C2.5(C2×C6×C12) = Q8×C3×C12central stem extension (φ=1)288C2.5(C2xC6xC12)288,816
C2.6(C2×C6×C12) = M4(2)×C3×C6central stem extension (φ=1)144C2.6(C2xC6xC12)288,827
C2.7(C2×C6×C12) = C32×C8○D4central stem extension (φ=1)144C2.7(C2xC6xC12)288,828

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