Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.Dic₅

Direct product G=N×Q with N=C₃ and Q=D₄.Dic₅

		d	ρ	Label	ID
C₃×D₄.Dic₅		240	4	C3xD4.Dic5	480,741

Semidirect products G=N:Q with N=C₃ and Q=D₄.Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.Dic₅) = D₁₂.₂Dic₅	φ: D₄.Dic₅/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	240	4	C3:1(D4.Dic5)	480,362
C₃⋊₂(D₄.Dic₅) = D₁₂.Dic₅	φ: D₄.Dic₅/C₄.Dic₅ → C₂ ⊆ Aut C₃	240	4	C3:2(D4.Dic5)	480,364
C₃⋊₃(D₄.Dic₅) = D₄.Dic₁₅	φ: D₄.Dic₅/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	240	4	C3:3(D4.Dic5)	480,913

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