Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊C₄⋊D₅

Direct product G=N×Q with N=C₃ and Q=C₄⋊C₄⋊D₅

		d	ρ	Label	ID
C₃×C₄⋊C₄⋊D₅		240		C3xC4:C4:D5	480,691

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊C₄⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊C₄⋊D₅) = (C₄×Dic₅)⋊S₃	φ: C₄⋊C₄⋊D₅/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C4:C4:D5)	480,463
C₃⋊₂(C₄⋊C₄⋊D₅) = C₄⋊Dic₃⋊D₅	φ: C₄⋊C₄⋊D₅/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(C4:C4:D5)	480,413
C₃⋊₃(C₄⋊C₄⋊D₅) = C₄⋊Dic₅⋊S₃	φ: C₄⋊C₄⋊D₅/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:3(C4:C4:D5)	480,421
C₃⋊₄(C₄⋊C₄⋊D₅) = (C₂×C₁₂).D₁₀	φ: C₄⋊C₄⋊D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:4(C4:C4:D5)	480,437
C₃⋊₅(C₄⋊C₄⋊D₅) = (C₂×C₆₀).C₂²	φ: C₄⋊C₄⋊D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:5(C4:C4:D5)	480,438
C₃⋊₆(C₄⋊C₄⋊D₅) = (C₄×Dic₁₅)⋊C₂	φ: C₄⋊C₄⋊D₅/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:6(C4:C4:D5)	480,442
C₃⋊₇(C₄⋊C₄⋊D₅) = C₄⋊C₄⋊D₁₅	φ: C₄⋊C₄⋊D₅/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:7(C4:C4:D5)	480,863

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