Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₁₂

Direct product G=N×Q with N=C₁₅ and Q=C₁₂

		d	ρ	Label	ID
C₃×C₆₀		180		C3xC60	180,18

Semidirect products G=N:Q with N=C₁₅ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁C₁₂ = C₃×C₃⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₅	30	4	C15:1C12	180,21
C₁₅⋊₂C₁₂ = C₃²×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₅	45		C15:2C12	180,20
C₁₅⋊₃C₁₂ = C₃×Dic₁₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:3C12	180,15
C₁₅⋊₄C₁₂ = C₃²×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₅	180		C15:4C12	180,13
C₁₅⋊₅C₁₂ = Dic₃×C₁₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:5C12	180,14

Non-split extensions G=N.Q with N=C₁₅ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.C₁₂ = C₉×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₅	45	4	C15.C12	180,5
C₁₅.₂C₁₂ = C₉×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₅	180	2	C15.2C12	180,2

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