Extensions 1→N→G→Q→1 with N=C₆×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₆×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×Dic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₆×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₇)⋊₁C₂ = D₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):1C2	336,43
(C₆×Dic₇)⋊₂C₂ = D₄₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):2C2	336,44
(C₆×Dic₇)⋊₃C₂ = C₂×S₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):3C2	336,154
(C₆×Dic₇)⋊₄C₂ = Dic₃.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168	4	(C6xDic7):4C2	336,155
(C₆×Dic₇)⋊₅C₂ = C₂×D₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):5C2	336,156
(C₆×Dic₇)⋊₆C₂ = C₂×C₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):6C2	336,159
(C₆×Dic₇)⋊₇C₂ = C₃×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):7C2	336,68
(C₆×Dic₇)⋊₈C₂ = C₃×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):8C2	336,73
(C₆×Dic₇)⋊₉C₂ = C₃×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168	4	(C6xDic7):9C2	336,179
(C₆×Dic₇)⋊₁₀C₂ = C₆×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	168		(C6xDic7):10C2	336,183
(C₆×Dic₇)⋊₁₁C₂ = D₇×C₂×C₁₂	φ: trivial image	168		(C6xDic7):11C2	336,175

Non-split extensions G=N.Q with N=C₆×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Dic₇).₁C₂ = Dic₃×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).1C2	336,41
(C₆×Dic₇).₂C₂ = C₄₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).2C2	336,45
(C₆×Dic₇).₃C₂ = Dic₂₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).3C2	336,46
(C₆×Dic₇).₄C₂ = C₁₄.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).4C2	336,47
(C₆×Dic₇).₅C₂ = C₂×C₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).5C2	336,160
(C₆×Dic₇).₆C₂ = C₃×Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).6C2	336,66
(C₆×Dic₇).₇C₂ = C₃×C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).7C2	336,67
(C₆×Dic₇).₈C₂ = C₆×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×Dic₇	336		(C6xDic7).8C2	336,174
(C₆×Dic₇).₉C₂ = C₁₂×Dic₇	φ: trivial image	336		(C6xDic7).9C2	336,65

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