Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³×C₄

Direct product G=N×Q with N=C₅ and Q=C₂³×C₄

		d	ρ	Label	ID
C₂³×C₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₅ and Q=C₂³×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³×C₄) = C₂³×F₅	φ: C₂³×C₄/C₂³ → C₄ ⊆ Aut C₅	40		C5:(C2^3xC4)	160,236
C₅⋊₂(C₂³×C₄) = D₅×C₂²×C₄	φ: C₂³×C₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^3xC4)	160,214
C₅⋊₃(C₂³×C₄) = C₂³×Dic₅	φ: C₂³×C₄/C₂⁴ → C₂ ⊆ Aut C₅	160		C5:3(C2^3xC4)	160,226

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