Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊S₄

Direct product G=N×Q with N=C₅ and Q=C₄⋊S₄

		d	ρ	Label	ID
C₅×C₄⋊S₄		60	6	C5xC4:S4	480,1015

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊S₄) = C₂₀⋊S₄	φ: C₄⋊S₄/C₄×A₄ → C₂ ⊆ Aut C₅	60	6+	C5:1(C4:S4)	480,1026
C₅⋊₂(C₄⋊S₄) = Dic₅⋊S₄	φ: C₄⋊S₄/C₂×S₄ → C₂ ⊆ Aut C₅	60	6	C5:2(C4:S4)	480,978

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