Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=C₃xS₃

Direct product G=NxQ with N=SL₂(F₃) and Q=C₃xS₃

		d	ρ	Label	ID
C₃xS₃xSL₂(F₃)		48	4	C3xS3xSL(2,3)	432,623

Semidirect products G=N:Q with N=SL₂(F₃) and Q=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):(C₃xS₃) = C₃xC₆.₆S₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out SL₂(F₃)	48	4	SL(2,3):(C3xS3)	432,617
SL₂(F₃):₂(C₃xS₃) = C₃xDic₃.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=C₃xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).(C₃xS₃) = C₃xC₆.₅S₄	φ: C₃xS₃/C₃² → C₂ ⊆ Out SL₂(F₃)	48	4	SL(2,3).(C3xS3)	432,616

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=C3xS3