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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊GL₂(𝔽₃) = Q₈⋊D₁₂	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	32		C4:GL(2,3)	192,952

Non-split extensions G=N.Q with N=C₄ and Q=GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.GL₂(𝔽₃) = Q₈⋊Dic₆	φ: GL₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4.GL(2,3)	192,945
C₄.₂GL₂(𝔽₃) = C₂.U₂(𝔽₃)	central extension (φ=1)	64		C4.2GL(2,3)	192,183

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