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

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

		d	ρ	Label	ID
C₆×SL₂(𝔽₃)		48		C6xSL(2,3)	144,156

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊C₆ = C₃×GL₂(𝔽₃)	φ: C₆/C₃ → C₂ ⊆ Out SL₂(𝔽₃)	24	2	SL(2,3):C6	144,122
SL₂(𝔽₃)⋊₂C₆ = C₃×C₄.A₄	φ: trivial image	48	2	SL(2,3):2C6	144,157

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

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₆ = C₃×CSU₂(𝔽₃)	φ: C₆/C₃ → C₂ ⊆ Out SL₂(𝔽₃)	48	2	SL(2,3).C6	144,121

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