Extensions 1→N→G→Q→1 with N=C₂xGL₂(F₃) and Q=C₂

Direct product G=NxQ with N=C₂xGL₂(F₃) and Q=C₂

		d	ρ	Label	ID
C₂²xGL₂(F₃)		32		C2^2xGL(2,3)	192,1475

Semidirect products G=N:Q with N=C₂xGL₂(F₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xGL₂(F₃)):₁C₂ = C₂xQ₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)):1C2	192,1476
(C₂xGL₂(F₃)):₂C₂ = C₂xC₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)):2C2	192,1481
(C₂xGL₂(F₃)):₃C₂ = D₄.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	16	4	(C2xGL(2,3)):3C2	192,1485
(C₂xGL₂(F₃)):₄C₂ = Q₈:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)):4C2	192,952
(C₂xGL₂(F₃)):₅C₂ = C₂³.₁₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)):5C2	192,980
(C₂xGL₂(F₃)):₆C₂ = SL₂(F₃):D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)):6C2	192,986
(C₂xGL₂(F₃)):₇C₂ = C₂xC₄.₆S₄	φ: trivial image	32		(C2xGL(2,3)):7C2	192,1480

Non-split extensions G=N.Q with N=C₂xGL₂(F₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xGL₂(F₃)).₁C₂ = GL₂(F₃):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)).1C2	192,953
(C₂xGL₂(F₃)).₂C₂ = Q₈.₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xGL₂(F₃)	32		(C2xGL(2,3)).2C2	192,954
(C₂xGL₂(F₃)).₃C₂ = C₄xGL₂(F₃)	φ: trivial image	32		(C2xGL(2,3)).3C2	192,951

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