Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₁₅ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₁₅×C₃⋊S₃		90		C15xC3:S3	270,26

Semidirect products G=N:Q with N=C₁₅ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₃⋊S₃) = C₃³⋊D₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	135		C15:1(C3:S3)	270,29
C₁₅⋊₂(C₃⋊S₃) = C₃×C₃⋊D₁₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:2(C3:S3)	270,27
C₁₅⋊₃(C₃⋊S₃) = C₅×C₃³⋊C₂	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	135		C15:3(C3:S3)	270,28

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃⋊S₃) = C₃⋊D₄₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	135		C15.1(C3:S3)	270,18
C₁₅.₂(C₃⋊S₃) = C₃²⋊D₁₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.2(C3:S3)	270,19
C₁₅.₃(C₃⋊S₃) = C₅×C₉⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₅	135		C15.3(C3:S3)	270,16
C₁₅.₄(C₃⋊S₃) = C₅×He₃⋊C₂	central extension (φ=1)	45	3	C15.4(C3:S3)	270,17

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