Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂

Direct product G=N×Q with N=C₅ and Q=C₁₂

		d	ρ	Label	ID
C₆₀		60	1	C60	60,4

Semidirect products G=N:Q with N=C₅ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₁₂ = C₃×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₅	15	4	C5:C12	60,6
C₅⋊₂C₁₂ = C₃×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₅	60	2	C5:2C12	60,2

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