Extensions 1→N→G→Q→1 with N=C₇×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₇×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₁₄×Dic₅		280		C14xDic5	280,22

Semidirect products G=N:Q with N=C₇×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₅)⋊₁C₂ = D₇×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	140	4-	(C7xDic5):1C2	280,7
(C₇×Dic₅)⋊₂C₂ = D₇₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	140	4+	(C7xDic5):2C2	280,9
(C₇×Dic₅)⋊₃C₂ = C₅⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	140	4+	(C7xDic5):3C2	280,11
(C₇×Dic₅)⋊₄C₂ = C₇×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	140	2	(C7xDic5):4C2	280,23
(C₇×Dic₅)⋊₅C₂ = D₅×C₂₈	φ: trivial image	140	2	(C7xDic5):5C2	280,20

Non-split extensions G=N.Q with N=C₇×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₅).₁C₂ = C₃₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	280	4-	(C7xDic5).1C2	280,13
(C₇×Dic₅).₂C₂ = C₃₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	280	4	(C7xDic5).2C2	280,6
(C₇×Dic₅).₃C₂ = C₇×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	280	2	(C7xDic5).3C2	280,19
(C₇×Dic₅).₄C₂ = C₇×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×Dic₅	280	4	(C7xDic5).4C2	280,5

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