Extensions 1→N→G→Q→1 with N=C₂×PSU₃(𝔽₂) and Q=C₂

Direct product G=N×Q with N=C₂×PSU₃(𝔽₂) and Q=C₂

		d	ρ	Label	ID
C₂²×PSU₃(𝔽₂)		36		C2^2xPSU(3,2)	288,1032

Semidirect products G=N:Q with N=C₂×PSU₃(𝔽₂) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×PSU₃(𝔽₂))⋊₁C₂ = C₆²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×PSU₃(𝔽₂)	24	8+	(C2xPSU(3,2)):1C2	288,895
(C₂×PSU₃(𝔽₂))⋊₂C₂ = C₂×AΓL₁(𝔽₉)	φ: C₂/C₁ → C₂ ⊆ Out C₂×PSU₃(𝔽₂)	18	8+	(C2xPSU(3,2)):2C2	288,1027

Non-split extensions G=N.Q with N=C₂×PSU₃(𝔽₂) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×PSU₃(𝔽₂)).₁C₂ = PSU₃(𝔽₂)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×PSU₃(𝔽₂)	36	8	(C2xPSU(3,2)).1C2	288,842
(C₂×PSU₃(𝔽₂)).₂C₂ = C₄⋊PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂×PSU₃(𝔽₂)	36	8	(C2xPSU(3,2)).2C2	288,893
(C₂×PSU₃(𝔽₂)).₃C₂ = C₄×PSU₃(𝔽₂)	φ: trivial image	36	8	(C2xPSU(3,2)).3C2	288,892

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Extensions 1→N→G→Q→1 with N=C2×PSU3(𝔽2) and Q=C2