Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₃×S₃

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₃×S₃

		d	ρ	Label	ID
C₃×S₃×SL₂(𝔽₃)		48	4	C3xS3xSL(2,3)	432,623

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊(C₃×S₃) = C₃×C₆.₆S₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out SL₂(𝔽₃)	48	4	SL(2,3):(C3xS3)	432,617
SL₂(𝔽₃)⋊₂(C₃×S₃) = C₃×Dic₃.A₄	φ: trivial image	48	4	SL(2,3):2(C3xS3)	432,622

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).(C₃×S₃) = C₃×C₆.₅S₄	φ: C₃×S₃/C₃² → C₂ ⊆ Out SL₂(𝔽₃)	48	4	SL(2,3).(C3xS3)	432,616

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C3×S3