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

Direct product G=N×Q with N=C₂×C₆×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₆×D₇)⋊₁C₂ = C₂×C₂₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7):1C2	336,157
(C₂×C₆×D₇)⋊₂C₂ = C₂×C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7):2C2	336,158
(C₂×C₆×D₇)⋊₃C₂ = D₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	84	4	(C2xC6xD7):3C2	336,161
(C₂×C₆×D₇)⋊₄C₂ = C₂²×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	84		(C2xC6xD7):4C2	336,219
(C₂×C₆×D₇)⋊₅C₂ = C₆×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7):5C2	336,176
(C₂×C₆×D₇)⋊₆C₂ = C₃×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	84	4	(C2xC6xD7):6C2	336,178
(C₂×C₆×D₇)⋊₇C₂ = C₆×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7):7C2	336,183

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₆×D₇).₁C₂ = D₁₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7).1C2	336,42
(C₂×C₆×D₇).₂C₂ = C₂×Dic₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7).2C2	336,151
(C₂×C₆×D₇).₃C₂ = C₃×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₆×D₇	168		(C2xC6xD7).3C2	336,68
(C₂×C₆×D₇).₄C₂ = D₇×C₂×C₁₂	φ: trivial image	168		(C2xC6xD7).4C2	336,175

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