Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₄²⋊C₂

Direct product G=N×Q with N=C₅ and Q=C₃×C₄²⋊C₂

		d	ρ	Label	ID
C₁₅×C₄²⋊C₂		240		C15xC4^2:C2	480,922

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₄²⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×C₄²⋊C₂) = C₃×D₁₀.C₂³	φ: C₃×C₄²⋊C₂/C₂×C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:(C3xC4^2:C2)	480,1052
C₅⋊₂(C₃×C₄²⋊C₂) = C₃×C₄²⋊D₅	φ: C₃×C₄²⋊C₂/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:2(C3xC4^2:C2)	480,665
C₅⋊₃(C₃×C₄²⋊C₂) = C₃×C₂³.₁₁D₁₀	φ: C₃×C₄²⋊C₂/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C3xC4^2:C2)	480,670
C₅⋊₄(C₃×C₄²⋊C₂) = C₃×C₄⋊C₄⋊₇D₅	φ: C₃×C₄²⋊C₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(C3xC4^2:C2)	480,685
C₅⋊₅(C₃×C₄²⋊C₂) = C₃×C₂³.₂₁D₁₀	φ: C₃×C₄²⋊C₂/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C3xC4^2:C2)	480,719

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