Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=A₄

Direct product G=N×Q with N=C₅×Q₈ and Q=A₄

		d	ρ	Label	ID
C₅×Q₈×A₄		120	6	C5xQ8xA4	480,1129

Semidirect products G=N:Q with N=C₅×Q₈ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁A₄ = C₅×Q₈⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₅×Q₈	120	6	(C5xQ8):1A4	480,1133
(C₅×Q₈)⋊₂A₄ = C₅×C₂³⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₅×Q₈	40	4	(C5xQ8):2A4	480,1134

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).A₄ = C₅×Q₈.A₄	φ: trivial image	120	4	(C5xQ8).A4	480,1131

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Extensions 1→N→G→Q→1 with N=C5×Q8 and Q=A4