Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₄

Direct product G=NxQ with N=C₁₅ and Q=C₄

		d	ρ	Label	ID
C₆₀		60	1	C60	60,4

Semidirect products G=N:Q with N=C₁₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁C₄ = C₃:F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₅	15	4	C15:1C4	60,7
C₁₅:₂C₄ = C₃xF₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₅	15	4	C15:2C4	60,6
C₁₅:₃C₄ = Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₅	60	2-	C15:3C4	60,3
C₁₅:₄C₄ = C₃xDic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₅	60	2	C15:4C4	60,2
C₁₅:₅C₄ = C₅xDic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₁₅	60	2	C15:5C4	60,1

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