Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C6×D7

Direct product G=N×Q with N=C2 and Q=C2×C6×D7
dρLabelID
D7×C22×C6168D7xC2^2xC6336,225


Non-split extensions G=N.Q with N=C2 and Q=C2×C6×D7
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C6×D7) = D7×C2×C12central extension (φ=1)168C2.1(C2xC6xD7)336,175
C2.2(C2×C6×D7) = C2×C6×Dic7central extension (φ=1)336C2.2(C2xC6xD7)336,182
C2.3(C2×C6×D7) = C6×Dic14central stem extension (φ=1)336C2.3(C2xC6xD7)336,174
C2.4(C2×C6×D7) = C6×D28central stem extension (φ=1)168C2.4(C2xC6xD7)336,176
C2.5(C2×C6×D7) = C3×C4○D28central stem extension (φ=1)1682C2.5(C2xC6xD7)336,177
C2.6(C2×C6×D7) = C3×D4×D7central stem extension (φ=1)844C2.6(C2xC6xD7)336,178
C2.7(C2×C6×D7) = C3×D42D7central stem extension (φ=1)1684C2.7(C2xC6xD7)336,179
C2.8(C2×C6×D7) = C3×Q8×D7central stem extension (φ=1)1684C2.8(C2xC6xD7)336,180
C2.9(C2×C6×D7) = C3×Q82D7central stem extension (φ=1)1684C2.9(C2xC6xD7)336,181
C2.10(C2×C6×D7) = C6×C7⋊D4central stem extension (φ=1)168C2.10(C2xC6xD7)336,183

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