Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊C₂²

Direct product G=N×Q with N=C₅ and Q=C₄²⋊C₂²

		d	ρ	Label	ID
C₅×C₄²⋊C₂²		80	4	C5xC4^2:C2^2	320,922

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊C₂²) = (C₂×D₄)⋊₆F₅	φ: C₄²⋊C₂²/C₂×D₄ → C₄ ⊆ Aut C₅	80	8-	C5:1(C4^2:C2^2)	320,1107
C₅⋊₂(C₄²⋊C₂²) = (C₂×Q₈)⋊₆F₅	φ: C₄²⋊C₂²/C₂×Q₈ → C₄ ⊆ Aut C₅	80	8+	C5:2(C4^2:C2^2)	320,1122
C₅⋊₃(C₄²⋊C₂²) = D₄⋊F₅⋊C₂	φ: C₄²⋊C₂²/C₄○D₄ → C₄ ⊆ Aut C₅	80	8	C5:3(C4^2:C2^2)	320,1133
C₅⋊₄(C₄²⋊C₂²) = C₄²⋊D₁₀	φ: C₄²⋊C₂²/C₄≀C₂ → C₂ ⊆ Aut C₅	80	4	C5:4(C4^2:C2^2)	320,448
C₅⋊₅(C₄²⋊C₂²) = C₄²⋊₄D₁₀	φ: C₄²⋊C₂²/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80	4	C5:5(C4^2:C2^2)	320,632
C₅⋊₆(C₄²⋊C₂²) = C₂³.₂₀D₂₀	φ: C₄²⋊C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:6(C4^2:C2^2)	320,766
C₅⋊₇(C₄²⋊C₂²) = (D₄×C₁₀)⋊₂₁C₄	φ: C₄²⋊C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:7(C4^2:C2^2)	320,863

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