Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₃C₄

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₃C₄

		d	ρ	Label	ID
C₅×C₄²⋊₃C₄		80	4	C5xC4^2:3C4	320,159

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₃C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊₃C₄) = C₄²⋊₂F₅	φ: C₄²⋊₃C₄/C₄² → C₄ ⊆ Aut C₅	80	4	C5:1(C4^2:3C4)	320,192
C₅⋊₂(C₄²⋊₃C₄) = (C₂×Q₈)⋊F₅	φ: C₄²⋊₃C₄/C₂×Q₈ → C₄ ⊆ Aut C₅	80	8+	C5:2(C4^2:3C4)	320,266
C₅⋊₃(C₄²⋊₃C₄) = C₂³.D₂₀	φ: C₄²⋊₃C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₅	80	8-	C5:3(C4^2:3C4)	320,31
C₅⋊₄(C₄²⋊₃C₄) = C₄²⋊Dic₅	φ: C₄²⋊₃C₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	80	4	C5:4(C4^2:3C4)	320,99

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