Extensions 1→N→G→Q→1 with N=SL₂(𝔽₃) and Q=C₄

Direct product G=N×Q with N=SL₂(𝔽₃) and Q=C₄

		d	ρ	Label	ID
C₄×SL₂(𝔽₃)		32		C4xSL(2,3)	96,69

Semidirect products G=N:Q with N=SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃)⋊₁C₄ = Q₈⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out SL₂(𝔽₃)	32		SL(2,3):1C4	96,66
SL₂(𝔽₃)⋊₂C₄ = U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out SL₂(𝔽₃)	24	2	SL(2,3):2C4	96,67

Non-split extensions G=N.Q with N=SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(𝔽₃).C₄ = C₈.A₄	φ: trivial image	32	2	SL(2,3).C4	96,74

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Extensions 1→N→G→Q→1 with N=SL2(𝔽3) and Q=C4