Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×Dic₃

Direct product G=N×Q with N=C₅ and Q=C₆×Dic₃

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₅ and Q=C₆×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₆×Dic₃) = C₆×C₃⋊F₅	φ: C₆×Dic₃/C₃×C₆ → C₄ ⊆ Aut C₅	60	4	C5:(C6xDic3)	360,146
C₅⋊₂(C₆×Dic₃) = C₃×D₅×Dic₃	φ: C₆×Dic₃/C₃×Dic₃ → C₂ ⊆ Aut C₅	60	4	C5:2(C6xDic3)	360,58
C₅⋊₃(C₆×Dic₃) = C₆×Dic₁₅	φ: C₆×Dic₃/C₆² → C₂ ⊆ Aut C₅	120		C5:3(C6xDic3)	360,103

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