Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×A₄⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂×A₄⋊C₄

		d	ρ	Label	ID
C₁₀×A₄⋊C₄		120		C10xA4:C4	480,1022

Semidirect products G=N:Q with N=C₅ and Q=C₂×A₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×A₄⋊C₄) = C₂×A₄⋊F₅	φ: C₂×A₄⋊C₄/C₂×A₄ → C₄ ⊆ Aut C₅	30	12+	C5:(C2xA4:C4)	480,1191
C₅⋊₂(C₂×A₄⋊C₄) = D₅×A₄⋊C₄	φ: C₂×A₄⋊C₄/A₄⋊C₄ → C₂ ⊆ Aut C₅	60	6	C5:2(C2xA4:C4)	480,979
C₅⋊₃(C₂×A₄⋊C₄) = C₂×A₄⋊Dic₅	φ: C₂×A₄⋊C₄/C₂²×A₄ → C₂ ⊆ Aut C₅	120		C5:3(C2xA4:C4)	480,1033

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