Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₃xS₃

Direct product G=NxQ with N=C₁₅ and Q=C₃xS₃

		d	ρ	Label	ID
S₃xC₃xC₁₅		90		S3xC3xC15	270,24

Semidirect products G=N:Q with N=C₁₅ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁(C₃xS₃) = C₃xC₃:D₁₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:1(C3xS3)	270,27
C₁₅:₂(C₃xS₃) = C₃²xD₁₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:2(C3xS3)	270,25
C₁₅:₃(C₃xS₃) = C₁₅xC₃:S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90		C15:3(C3xS3)	270,26

Non-split extensions G=N.Q with N=C₁₅ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₃xS₃) = C₃xD₄₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90	2	C15.1(C3xS3)	270,12
C₁₅.₂(C₃xS₃) = He₃:D₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	45	6+	C15.2(C3xS3)	270,14
C₁₅.₃(C₃xS₃) = D₄₅:C₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	45	6+	C15.3(C3xS3)	270,15
C₁₅.₄(C₃xS₃) = C₉xD₁₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90	2	C15.4(C3xS3)	270,13
C₁₅.₅(C₃xS₃) = C₁₅xD₉	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	90	2	C15.5(C3xS3)	270,8
C₁₅.₆(C₃xS₃) = C₅xC₃²:C₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.6(C3xS3)	270,10
C₁₅.₇(C₃xS₃) = C₅xC₉:C₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₁₅	45	6	C15.7(C3xS3)	270,11
C₁₅.₈(C₃xS₃) = S₃xC₄₅	central extension (φ=1)	90	2	C15.8(C3xS3)	270,9

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