Extensions 1→N→G→Q→1 with N=C₅ and Q=C₇⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₇⋊C₈

		d	ρ	Label	ID
C₅×C₇⋊C₈		280	2	C5xC7:C8	280,2

Semidirect products G=N:Q with N=C₅ and Q=C₇⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₇⋊C₈) = C₃₅⋊C₈	φ: C₇⋊C₈/C₁₄ → C₄ ⊆ Aut C₅	280	4	C5:(C7:C8)	280,6
C₅⋊₂(C₇⋊C₈) = C₃₅⋊₃C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₅	280	2	C5:2(C7:C8)	280,3

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