Extensions 1→N→G→Q→1 with N=C₅×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₇		280		C10xDic7	280,17

Semidirect products G=N:Q with N=C₅×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₇)⋊₁C₂ = D₅×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	140	4-	(C5xDic7):1C2	280,8
(C₅×Dic₇)⋊₂C₂ = D₇₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	140	4+	(C5xDic7):2C2	280,9
(C₅×Dic₇)⋊₃C₂ = C₇⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	140	4+	(C5xDic7):3C2	280,12
(C₅×Dic₇)⋊₄C₂ = C₅×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	140	2	(C5xDic7):4C2	280,18
(C₅×Dic₇)⋊₅C₂ = D₇×C₂₀	φ: trivial image	140	2	(C5xDic7):5C2	280,15

Non-split extensions G=N.Q with N=C₅×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₇).₁C₂ = C₃₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	280	4-	(C5xDic7).1C2	280,13
(C₅×Dic₇).₂C₂ = C₅×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₇	280	2	(C5xDic7).2C2	280,14

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