Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊D₅

Direct product G=N×Q with N=C₃ and Q=C₄²⋊D₅

		d	ρ	Label	ID
C₃×C₄²⋊D₅		240		C3xC4^2:D5	480,665

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊D₅) = (C₄×D₁₅)⋊₁₀C₄	φ: C₄²⋊D₅/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C4^2:D5)	480,462
C₃⋊₂(C₄²⋊D₅) = D₃₀.₂₃(C₂×C₄)	φ: C₄²⋊D₅/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(C4^2:D5)	480,479
C₃⋊₃(C₄²⋊D₅) = (D₅×Dic₃)⋊C₄	φ: C₄²⋊D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(C4^2:D5)	480,469
C₃⋊₄(C₄²⋊D₅) = C₄²⋊₂D₁₅	φ: C₄²⋊D₅/C₄×C₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C4^2:D5)	480,837
C₃⋊₅(C₄²⋊D₅) = (D₅×C₁₂)⋊C₄	φ: C₄²⋊D₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:5(C4^2:D5)	480,433

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