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

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

		d	ρ	Label	ID
C₅×C₄²⋊C₄		40	4	C5xC4^2:C4	320,158

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊C₄) = C₄²⋊F₅	φ: C₄²⋊C₄/C₄² → C₄ ⊆ Aut C₅	40	4+	C5:1(C4^2:C4)	320,191
C₅⋊₂(C₄²⋊C₄) = (C₂×D₄)⋊F₅	φ: C₄²⋊C₄/C₂×D₄ → C₄ ⊆ Aut C₅	40	8+	C5:2(C4^2:C4)	320,260
C₅⋊₃(C₄²⋊C₄) = C₂³.₂D₂₀	φ: C₄²⋊C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₅	40	8+	C5:3(C4^2:C4)	320,32
C₅⋊₄(C₄²⋊C₄) = C₄²⋊₃Dic₅	φ: C₄²⋊C₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	40	4	C5:4(C4^2:C4)	320,103

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