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
S₃×C₃×C₁₅		90		S3xC3xC15	270,24

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) = C₃×C₃⋊D₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:1(C3xS3)	270,27
C₁₅⋊₂(C₃×S₃) = C₃²×D₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:2(C3xS3)	270,25
C₁₅⋊₃(C₃×S₃) = C₁₅×C₃⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:3(C3xS3)	270,26

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	90	2	C15.1(C3xS3)	270,12
C₁₅.₂(C₃×S₃) = He₃⋊D₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	45	6+	C15.2(C3xS3)	270,14
C₁₅.₃(C₃×S₃) = D₄₅⋊C₃	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	45	6+	C15.3(C3xS3)	270,15
C₁₅.₄(C₃×S₃) = C₉×D₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	90	2	C15.4(C3xS3)	270,13
C₁₅.₅(C₃×S₃) = C₁₅×D₉	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	90	2	C15.5(C3xS3)	270,8
C₁₅.₆(C₃×S₃) = C₅×C₃²⋊C₆	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.6(C3xS3)	270,10
C₁₅.₇(C₃×S₃) = C₅×C₉⋊C₆	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.7(C3xS3)	270,11
C₁₅.₈(C₃×S₃) = S₃×C₄₅	central extension (φ=1)	90	2	C15.8(C3xS3)	270,9

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