Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂²×S₃

Direct product G=N×Q with N=C₁₅ and Q=C₂²×S₃

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₁₅ and Q=C₂²×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₂²×S₃) = S₃²×D₅	φ: C₂²×S₃/S₃ → C₂² ⊆ Aut C₁₅	30	8+	C15:1(C2^2xS3)	360,137
C₁₅⋊₂(C₂²×S₃) = C₂×D₅×C₃⋊S₃	φ: C₂²×S₃/C₆ → C₂² ⊆ Aut C₁₅	90		C15:2(C2^2xS3)	360,152
C₁₅⋊₃(C₂²×S₃) = C₂×D₁₅⋊S₃	φ: C₂²×S₃/C₆ → C₂² ⊆ Aut C₁₅	60	4	C15:3(C2^2xS3)	360,155
C₁₅⋊₄(C₂²×S₃) = C₂×S₃×D₁₅	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₁₅	60	4+	C15:4(C2^2xS3)	360,154
C₁₅⋊₅(C₂²×S₃) = S₃×C₆×D₅	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₁₅	60	4	C15:5(C2^2xS3)	360,151
C₁₅⋊₆(C₂²×S₃) = S₃²×C₁₀	φ: C₂²×S₃/D₆ → C₂ ⊆ Aut C₁₅	60	4	C15:6(C2^2xS3)	360,153
C₁₅⋊₇(C₂²×S₃) = C₂²×C₃⋊D₁₅	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15:7(C2^2xS3)	360,161
C₁₅⋊₈(C₂²×S₃) = C₂×C₆×D₁₅	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₁₅	120		C15:8(C2^2xS3)	360,159
C₁₅⋊₉(C₂²×S₃) = C₃⋊S₃×C₂×C₁₀	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15:9(C2^2xS3)	360,160

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂²×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₂²×S₃) = C₂×D₅×D₉	φ: C₂²×S₃/C₆ → C₂² ⊆ Aut C₁₅	90	4+	C15.(C2^2xS3)	360,45
C₁₅.₂(C₂²×S₃) = C₂²×D₄₅	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15.2(C2^2xS3)	360,49
C₁₅.₃(C₂²×S₃) = D₉×C₂×C₁₀	φ: C₂²×S₃/C₂×C₆ → C₂ ⊆ Aut C₁₅	180		C15.3(C2^2xS3)	360,48

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