Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₈

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₈

		d	ρ	Label	ID
C₈×SL₂(𝔽₃)		64		C8xSL(2,3)	192,200

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊C₈ = C₂.U₂(𝔽₃)	φ: C₈/C₄ → C₂ ⊆ Out SL₂(𝔽₃)	64		SL(2,3):C8	192,183

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₈ = C₈.₇S₄	φ: C₈/C₄ → C₂ ⊆ Out SL₂(𝔽₃)	64	2	SL(2,3).C8	192,187
SL₂(𝔽₃).₂C₈ = C₁₆.A₄	φ: trivial image	64	2	SL(2,3).2C8	192,204

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C8