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
C₂×C₂.PSU₃(𝔽₂)		48		C2xC2.PSU(3,2)	288,894

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 = C₂.AΓL₁(𝔽₉)	φ: C₂/C₁ → C₂ ⊆ Out C₂.PSU₃(𝔽₂)	24	8+	C2.PSU(3,2):1C2	288,841
C₂.PSU₃(𝔽₂)⋊₂C₂ = C₆²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂.PSU₃(𝔽₂)	24	8+	C2.PSU(3,2):2C2	288,895

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 = F₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂.PSU₃(𝔽₂)	36	8	C2.PSU(3,2).1C2	288,843
C₂.PSU₃(𝔽₂).₂C₂ = C₄.₃PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂.PSU₃(𝔽₂)	48	8	C2.PSU(3,2).2C2	288,891
C₂.PSU₃(𝔽₂).₃C₂ = C₄⋊PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂.PSU₃(𝔽₂)	36	8	C2.PSU(3,2).3C2	288,893
C₂.PSU₃(𝔽₂).₄C₂ = C₄×PSU₃(𝔽₂)	φ: trivial image	36	8	C2.PSU(3,2).4C2	288,892

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