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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₄²⋊C₂) = C₅×C₄²⋊₂S₃	φ: C₅×C₄²⋊C₂/C₄×C₂₀ → C₂ ⊆ Aut C₃	240		C3:1(C5xC4^2:C2)	480,751
C₃⋊₂(C₅×C₄²⋊C₂) = C₅×C₂³.₁₆D₆	φ: C₅×C₄²⋊C₂/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C5xC4^2:C2)	480,756
C₃⋊₃(C₅×C₄²⋊C₂) = C₅×C₄⋊C₄⋊₇S₃	φ: C₅×C₄²⋊C₂/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(C5xC4^2:C2)	480,771
C₃⋊₄(C₅×C₄²⋊C₂) = C₅×C₂³.₂₆D₆	φ: C₅×C₄²⋊C₂/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C5xC4^2:C2)	480,805

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