Extensions 1→N→G→Q→1 with N=GL₂(𝔽₃) and Q=C₂²

Direct product G=N×Q with N=GL₂(𝔽₃) and Q=C₂²

		d	ρ	Label	ID
C₂²×GL₂(𝔽₃)		32		C2^2xGL(2,3)	192,1475

Semidirect products G=N:Q with N=GL₂(𝔽₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃)⋊₁C₂² = C₂×Q₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32		GL(2,3):1C2^2	192,1476
GL₂(𝔽₃)⋊₂C₂² = C₂×C₄.₃S₄	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32		GL(2,3):2C2^2	192,1481
GL₂(𝔽₃)⋊₃C₂² = GL₂(𝔽₃)⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32	4	GL(2,3):3C2^2	192,1482
GL₂(𝔽₃)⋊₄C₂² = Q₈.₇S₄	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32	4+	GL(2,3):4C2^2	192,1484
GL₂(𝔽₃)⋊₅C₂² = D₄.₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	16	4	GL(2,3):5C2^2	192,1485
GL₂(𝔽₃)⋊₆C₂² = C₂×C₄.₆S₄	φ: trivial image	32		GL(2,3):6C2^2	192,1480
GL₂(𝔽₃)⋊₇C₂² = Q₈.₆S₄	φ: trivial image	32	4	GL(2,3):7C2^2	192,1483

Non-split extensions G=N.Q with N=GL₂(𝔽₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(𝔽₃).C₂² = D₄.₅S₄	φ: C₂²/C₂ → C₂ ⊆ Out GL₂(𝔽₃)	32	4-	GL(2,3).C2^2	192,1486

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