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

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

		d	ρ	Label	ID
A₄×C₂×C₂₀		120		A4xC2xC20	480,1126

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₄×A₄) = C₂×A₄×F₅	φ: C₂×C₄×A₄/C₂×A₄ → C₄ ⊆ Aut C₅	30	12+	C5:(C2xC4xA4)	480,1192
C₅⋊₂(C₂×C₄×A₄) = C₄×D₅×A₄	φ: C₂×C₄×A₄/C₄×A₄ → C₂ ⊆ Aut C₅	60	6	C5:2(C2xC4xA4)	480,1036
C₅⋊₃(C₂×C₄×A₄) = C₂×A₄×Dic₅	φ: C₂×C₄×A₄/C₂²×A₄ → C₂ ⊆ Aut C₅	120		C5:3(C2xC4xA4)	480,1044

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