Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂²×C₆

Direct product G=N×Q with N=C₁₅ and Q=C₂²×C₆

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₁₅ and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊(C₂²×C₆) = S₃×C₆×D₅	φ: C₂²×C₆/C₆ → C₂² ⊆ Aut C₁₅	60	4	C15:(C2^2xC6)	360,151
C₁₅⋊₂(C₂²×C₆) = C₂×C₆×D₁₅	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₁₅	120		C15:2(C2^2xC6)	360,159
C₁₅⋊₃(C₂²×C₆) = D₅×C₆²	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15:3(C2^2xC6)	360,157
C₁₅⋊₄(C₂²×C₆) = S₃×C₂×C₃₀	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₁₅	120		C15:4(C2^2xC6)	360,158

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₂²×C₆) = D₅×C₂×C₁₈	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15.(C2^2xC6)	360,47

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