Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.Dic₅

Direct product G=N×Q with N=C₃ and Q=C₄.Dic₅

		d	ρ	Label	ID
C₃×C₄.Dic₅		120	2	C3xC4.Dic5	240,39

Semidirect products G=N:Q with N=C₃ and Q=C₄.Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.Dic₅) = D₆.Dic₅	φ: C₄.Dic₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₃	120	4	C3:1(C4.Dic5)	240,11
C₃⋊₂(C₄.Dic₅) = C₆₀.₇C₄	φ: C₄.Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₃	120	2	C3:2(C4.Dic5)	240,71

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