Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆.D₆

Direct product G=N×Q with N=C₅ and Q=C₆.D₆

		d	ρ	Label	ID
C₅×C₆.D₆		60	4	C5xC6.D6	360,73

Semidirect products G=N:Q with N=C₅ and Q=C₆.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₆.D₆) = C₃⋊F₅⋊S₃	φ: C₆.D₆/C₃⋊S₃ → C₄ ⊆ Aut C₅	30	8+	C5:(C6.D6)	360,129
C₅⋊₂(C₆.D₆) = C₆.D₃₀	φ: C₆.D₆/C₃×Dic₃ → C₂ ⊆ Aut C₅	60	4+	C5:2(C6.D6)	360,79
C₅⋊₃(C₆.D₆) = Dic₁₅⋊S₃	φ: C₆.D₆/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₅	60	4	C5:3(C6.D6)	360,85

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