Extensions 1→N→G→Q→1 with N=D₅×C₁₄ and Q=C₂

Direct product G=N×Q with N=D₅×C₁₄ and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₁₄		140		D5xC2xC14	280,38

Semidirect products G=N:Q with N=D₅×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₄)⋊₁C₂ = C₃₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	140	4-	(D5xC14):1C2	280,10
(D₅×C₁₄)⋊₂C₂ = C₇⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	140	4+	(D5xC14):2C2	280,12
(D₅×C₁₄)⋊₃C₂ = C₂×D₅×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	70	4+	(D5xC14):3C2	280,36
(D₅×C₁₄)⋊₄C₂ = C₇×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	140	2	(D5xC14):4C2	280,21
(D₅×C₁₄)⋊₅C₂ = C₇×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	140	2	(D5xC14):5C2	280,23

Non-split extensions G=N.Q with N=D₅×C₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₄).₁C₂ = D₅×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	140	4-	(D5xC14).1C2	280,8
(D₅×C₁₄).₂C₂ = C₂×C₇⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	70	4	(D5xC14).2C2	280,35
(D₅×C₁₄).₃C₂ = C₁₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₁₄	70	4	(D5xC14).3C2	280,34
(D₅×C₁₄).₄C₂ = D₅×C₂₈	φ: trivial image	140	2	(D5xC14).4C2	280,20

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