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

Direct product G=N×Q 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 = C₃×F₅	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 = C₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₅	60	2	C15:4C4	60,2
C₁₅⋊₅C₄ = C₅×Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₁₅	60	2	C15:5C4	60,1

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