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

		d	ρ	Label	ID
C₂×C₆×D₇		84		C2xC6xD7	168,54

Semidirect products G=N:Q with N=C₂×C₆ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁D₇ = C₃×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₆	84	2	(C2xC6):1D7	168,28
(C₂×C₆)⋊₂D₇ = C₂₁⋊₇D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₆	84	2	(C2xC6):2D7	168,38
(C₂×C₆)⋊₃D₇ = C₂²×D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₆	84		(C2xC6):3D7	168,56

Non-split extensions G=N.Q with N=C₂×C₆ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).D₇ = C₂×Dic₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₆	168		(C2xC6).D7	168,37
(C₂×C₆).₂D₇ = C₆×Dic₇	central extension (φ=1)	168		(C2xC6).2D7	168,27

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