Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄.Q₈

Direct product G=N×Q with N=C₅ and Q=C₃×C₄.Q₈

		d	ρ	Label	ID
C₁₅×C₄.Q₈		480		C15xC4.Q8	480,209

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×C₄.Q₈) = C₃×C₄₀⋊C₄	φ: C₃×C₄.Q₈/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:(C3xC4.Q8)	480,273
C₅⋊₂(C₃×C₄.Q₈) = C₃×C₂₀.Q₈	φ: C₃×C₄.Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	480		C5:2(C3xC4.Q8)	480,86
C₅⋊₃(C₃×C₄.Q₈) = C₃×C₄₀⋊₆C₄	φ: C₃×C₄.Q₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	480		C5:3(C3xC4.Q8)	480,95

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