Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₃×C₆

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆×SL₂(𝔽₃)		144		C3xC6xSL(2,3)	432,698

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊(C₃×C₆) = C₃²×GL₂(𝔽₃)	φ: C₃×C₆/C₃² → C₂ ⊆ Out SL₂(𝔽₃)	72		SL(2,3):(C3xC6)	432,614
SL₂(𝔽₃)⋊₂(C₃×C₆) = C₃²×C₄.A₄	φ: trivial image	144		SL(2,3):2(C3xC6)	432,699

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).(C₃×C₆) = C₃²×CSU₂(𝔽₃)	φ: C₃×C₆/C₃² → C₂ ⊆ Out SL₂(𝔽₃)	144		SL(2,3).(C3xC6)	432,613

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C3×C6