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

Direct product G=N×Q with N=C2×C6 and Q=D7
dρLabelID
C2×C6×D784C2xC6xD7168,54

Semidirect products G=N:Q with N=C2×C6 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1D7 = C3×C7⋊D4φ: D7/C7C2 ⊆ Aut C2×C6842(C2xC6):1D7168,28
(C2×C6)⋊2D7 = C217D4φ: D7/C7C2 ⊆ Aut C2×C6842(C2xC6):2D7168,38
(C2×C6)⋊3D7 = C22×D21φ: D7/C7C2 ⊆ Aut C2×C684(C2xC6):3D7168,56

Non-split extensions G=N.Q with N=C2×C6 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2×C6).D7 = C2×Dic21φ: D7/C7C2 ⊆ Aut C2×C6168(C2xC6).D7168,37
(C2×C6).2D7 = C6×Dic7central extension (φ=1)168(C2xC6).2D7168,27

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