Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₅xS₃

Direct product G=NxQ with N=C₁₅ and Q=C₅xS₃

		d	ρ	Label	ID
S₃xC₅xC₁₅		150		S3xC5xC15	450,28

Semidirect products G=N:Q with N=C₁₅ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅:₁(C₅xS₃) = C₅xC₃:D₁₅	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	90		C15:1(C5xS3)	450,32
C₁₅:₂(C₅xS₃) = C₁₅xD₁₅	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	30	2	C15:2(C5xS3)	450,29
C₁₅:₃(C₅xS₃) = C₃:S₃xC₅²	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15:3(C5xS3)	450,31

Non-split extensions G=N.Q with N=C₁₅ and Q=C₅xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.₁(C₅xS₃) = C₅xD₄₅	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	90	2	C15.1(C5xS3)	450,17
C₁₅.₂(C₅xS₃) = D₉xC₂₅	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	225	2	C15.2(C5xS3)	450,1
C₁₅.₃(C₅xS₃) = C₃:S₃xC₂₅	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.3(C5xS3)	450,8
C₁₅.₄(C₅xS₃) = D₉xC₅²	φ: C₅xS₃/C₁₅ → C₂ ⊆ Aut C₁₅	225		C15.4(C5xS3)	450,16
C₁₅.₅(C₅xS₃) = S₃xC₇₅	central extension (φ=1)	150	2	C15.5(C5xS3)	450,6

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