Extensions 1→N→G→Q→1 with N=D₇×C₁₄ and Q=C₂

Direct product G=N×Q with N=D₇×C₁₄ and Q=C₂

		d	ρ	Label	ID
D₇×C₂×C₁₄		56		D7xC2xC14	392,42

Semidirect products G=N:Q with N=D₇×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₁₄)⋊₁C₂ = C₇²⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	56	4-	(D7xC14):1C2	392,20
(D₇×C₁₄)⋊₂C₂ = C₇⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	28	4+	(D7xC14):2C2	392,21
(D₇×C₁₄)⋊₃C₂ = C₇×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	56	2	(D7xC14):3C2	392,25
(D₇×C₁₄)⋊₄C₂ = C₇×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	28	2	(D7xC14):4C2	392,27
(D₇×C₁₄)⋊₅C₂ = C₂×D₇²	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	28	4+	(D7xC14):5C2	392,41

Non-split extensions G=N.Q with N=D₇×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇×C₁₄).C₂ = D₇×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₇×C₁₄	56	4-	(D7xC14).C2	392,18
(D₇×C₁₄).₂C₂ = D₇×C₂₈	φ: trivial image	56	2	(D7xC14).2C2	392,24

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