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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₃²⋊C₄) = C₃²⋊F₅⋊C₂	φ: C₂×C₃²⋊C₄/C₃⋊S₃ → C₄ ⊆ Aut C₅	30	8+	C5:1(C2xC3^2:C4)	360,131
C₅⋊₂(C₂×C₃²⋊C₄) = C₂×C₃²⋊F₅	φ: C₂×C₃²⋊C₄/C₃×C₆ → C₄ ⊆ Aut C₅	60	4+	C5:2(C2xC3^2:C4)	360,150
C₅⋊₃(C₂×C₃²⋊C₄) = D₅×C₃²⋊C₄	φ: C₂×C₃²⋊C₄/C₃²⋊C₄ → C₂ ⊆ Aut C₅	30	8+	C5:3(C2xC3^2:C4)	360,130
C₅⋊₄(C₂×C₃²⋊C₄) = C₂×C₃²⋊Dic₅	φ: C₂×C₃²⋊C₄/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₅	60	4	C5:4(C2xC3^2:C4)	360,149

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