Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=C₄

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=C₄

		d	ρ	Label	ID
C₄×GL₂(𝔽₃)		32		C4xGL(2,3)	192,951

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁C₄ = GL₂(𝔽₃)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32		GL(2,3):1C4	192,953
GL₂(𝔽₃)⋊₂C₄ = C₈.₅S₄	φ: C₄/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32	4	GL(2,3):2C4	192,964
GL₂(𝔽₃)⋊₃C₄ = CU₂(𝔽₃)	φ: trivial image	32	2	GL(2,3):3C4	192,963

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