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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×Dic₇) = C₂×C₇⋊F₅	φ: C₂×Dic₇/C₁₄ → C₄ ⊆ Aut C₅	70	4	C5:(C2xDic7)	280,35
C₅⋊₂(C₂×Dic₇) = D₅×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₅	140	4-	C5:2(C2xDic7)	280,8
C₅⋊₃(C₂×Dic₇) = C₂×Dic₃₅	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₅	280		C5:3(C2xDic7)	280,27

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