Extensions 1→N→G→Q→1 with N=C₃² and Q=C₅×S₃

Direct product G=N×Q with N=C₃² and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₃×C₁₅		90		S3xC3xC15	270,24

Semidirect products G=N:Q with N=C₃² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₅×S₃) = C₅×C₃²⋊C₆	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₃²	45	6	C3^2:1(C5xS3)	270,10
C₃²⋊₂(C₅×S₃) = C₅×He₃⋊C₂	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₃²	45	3	C3^2:2(C5xS3)	270,17
C₃²⋊₃(C₅×S₃) = C₁₅×C₃⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₃²	90		C3^2:3(C5xS3)	270,26
C₃²⋊₄(C₅×S₃) = C₅×C₃³⋊C₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₃²	135		C3^2:4(C5xS3)	270,28

Non-split extensions G=N.Q with N=C₃² and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₅×S₃) = C₅×C₉⋊C₆	φ: C₅×S₃/C₅ → S₃ ⊆ Aut C₃²	45	6	C3^2.(C5xS3)	270,11
C₃².₂(C₅×S₃) = C₁₅×D₉	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₃²	90	2	C3^2.2(C5xS3)	270,8
C₃².₃(C₅×S₃) = C₅×C₉⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₃²	135		C3^2.3(C5xS3)	270,16

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