Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄.₆S₄

Direct product G=N×Q with N=C₅ and Q=C₄.₆S₄

		d	ρ	Label	ID
C₅×C₄.₆S₄		80	2	C5xC4.6S4	480,1020

Semidirect products G=N:Q with N=C₅ and Q=C₄.₆S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄.₆S₄) = Dic₅.₇S₄	φ: C₄.₆S₄/CSU₂(𝔽₃) → C₂ ⊆ Aut C₅	80	4+	C5:1(C4.6S4)	480,969
C₅⋊₂(C₄.₆S₄) = Dic₅.₆S₄	φ: C₄.₆S₄/GL₂(𝔽₃) → C₂ ⊆ Aut C₅	80	4	C5:2(C4.6S4)	480,968
C₅⋊₃(C₄.₆S₄) = C₂₀.₆S₄	φ: C₄.₆S₄/C₄.A₄ → C₂ ⊆ Aut C₅	80	4	C5:3(C4.6S4)	480,1031

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