Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅₆

Direct product G=N×Q with N=C₅ and Q=C₅₆

		d	ρ	Label	ID
C₂₈₀		280	1	C280	280,4

Semidirect products G=N:Q with N=C₅ and Q=C₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₅₆ = C₇×C₅⋊C₈	φ: C₅₆/C₁₄ → C₄ ⊆ Aut C₅	280	4	C5:C56	280,5
C₅⋊₂C₅₆ = C₇×C₅⋊₂C₈	φ: C₅₆/C₂₈ → C₂ ⊆ Aut C₅	280	2	C5:2C56	280,1

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