Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃×C₆

Direct product G=N×Q with N=C₁₅ and Q=C₃×C₆

		d	ρ	Label	ID
C₃²×C₃₀		270		C3^2xC30	270,30

Semidirect products G=N:Q with N=C₁₅ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₃×C₆) = C₃²×D₁₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	90		C15:1(C3xC6)	270,25
C₁₅⋊₂(C₃×C₆) = D₅×C₃³	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	135		C15:2(C3xC6)	270,23
C₁₅⋊₃(C₃×C₆) = S₃×C₃×C₁₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	90		C15:3(C3xC6)	270,24

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃×C₆) = D₅×C₃×C₉	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	135		C15.1(C3xC6)	270,5
C₁₅.₂(C₃×C₆) = D₅×He₃	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.2(C3xC6)	270,6
C₁₅.₃(C₃×C₆) = D₅×3_-¹⁺²	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.3(C3xC6)	270,7
C₁₅.₄(C₃×C₆) = C₁₀×He₃	central extension (φ=1)	90	3	C15.4(C3xC6)	270,21
C₁₅.₅(C₃×C₆) = C₁₀×3_-¹⁺²	central extension (φ=1)	90	3	C15.5(C3xC6)	270,22

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