Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄.D₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₄.D₄

		d	ρ	Label	ID
C₁₅×C₄.D₄		120	4	C15xC4.D4	480,203

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×C₄.D₄) = C₃×C₂³.F₅	φ: C₃×C₄.D₄/C₂²×C₆ → C₄ ⊆ Aut C₅	120	4	C5:(C3xC4.D4)	480,293
C₅⋊₂(C₃×C₄.D₄) = C₃×C₂₀.₄₆D₄	φ: C₃×C₄.D₄/C₃×M₄(2) → C₂ ⊆ Aut C₅	120	4	C5:2(C3xC4.D4)	480,101
C₅⋊₃(C₃×C₄.D₄) = C₃×C₂₀.D₄	φ: C₃×C₄.D₄/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:3(C3xC4.D4)	480,111

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