Extensions 1→N→G→Q→1 with N=C₅×C₃²⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₅×C₃²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₃²⋊C₄		60	4	C10xC3^2:C4	360,148

Semidirect products G=N:Q with N=C₅×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃²⋊C₄)⋊₁C₂ = C₃²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	30	8+	(C5xC3^2:C4):1C2	360,134
(C₅×C₃²⋊C₄)⋊₂C₂ = D₅×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	30	8+	(C5xC3^2:C4):2C2	360,130
(C₅×C₃²⋊C₄)⋊₃C₂ = C₅×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	30	4	(C5xC3^2:C4):3C2	360,132

Non-split extensions G=N.Q with N=C₅×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃²⋊C₄).₁C₂ = C₅×F₉	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	45	8	(C5xC3^2:C4).1C2	360,123
(C₅×C₃²⋊C₄).₂C₂ = C₃²⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	45	8	(C5xC3^2:C4).2C2	360,136
(C₅×C₃²⋊C₄).₃C₂ = C₅⋊₂F₉	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	45	8	(C5xC3^2:C4).3C2	360,124
(C₅×C₃²⋊C₄).₄C₂ = C₅×PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃²⋊C₄	45	8	(C5xC3^2:C4).4C2	360,135

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