Extensions 1→N→G→Q→1 with N=C₇×Dic₆ and Q=C₂

Direct product G=N×Q with N=C₇×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₁₄×Dic₆		336		C14xDic6	336,184

Semidirect products G=N:Q with N=C₇×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₆)⋊₁C₂ = Dic₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4+	(C7xDic6):1C2	336,37
(C₇×Dic₆)⋊₂C₂ = D₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4-	(C7xDic6):2C2	336,137
(C₇×Dic₆)⋊₃C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4+	(C7xDic6):3C2	336,146
(C₇×Dic₆)⋊₄C₂ = C₂₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):4C2	336,32
(C₇×Dic₆)⋊₅C₂ = D₂₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):5C2	336,139
(C₇×Dic₆)⋊₆C₂ = D₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):6C2	336,143
(C₇×Dic₆)⋊₇C₂ = C₇×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	2	(C7xDic6):7C2	336,76
(C₇×Dic₆)⋊₈C₂ = C₇×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):8C2	336,86
(C₇×Dic₆)⋊₉C₂ = C₇×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):9C2	336,189
(C₇×Dic₆)⋊₁₀C₂ = S₃×C₇×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	168	4	(C7xDic6):10C2	336,190
(C₇×Dic₆)⋊₁₁C₂ = C₇×C₄○D₁₂	φ: trivial image	168	2	(C7xDic6):11C2	336,187

Non-split extensions G=N.Q with N=C₇×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₆).₁C₂ = C₇⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	336	4-	(C7xDic6).1C2	336,40
(C₇×Dic₆).₂C₂ = C₂₁⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	336	4	(C7xDic6).2C2	336,38
(C₇×Dic₆).₃C₂ = C₇×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	336	2	(C7xDic6).3C2	336,78
(C₇×Dic₆).₄C₂ = C₇×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₆	336	4	(C7xDic6).4C2	336,88

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