Extensions 1→N→G→Q→1 with N=C₂² and Q=PSU₃(𝔽₂)

Direct product G=N×Q with N=C₂² and Q=PSU₃(𝔽₂)

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

Semidirect products G=N:Q with N=C₂² and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊PSU₃(𝔽₂) = C₆²⋊Q₈	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₂²	24	8+	C2^2:PSU(3,2)	288,895

Non-split extensions G=N.Q with N=C₂² and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².PSU₃(𝔽₂) = C₆².₂Q₈	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₂²	48	8-	C2^2.PSU(3,2)	288,396
C₂².₂PSU₃(𝔽₂) = C₆².Q₈	central extension (φ=1)	48		C2^2.2PSU(3,2)	288,395
C₂².₃PSU₃(𝔽₂) = C₂×C₂.PSU₃(𝔽₂)	central extension (φ=1)	48		C2^2.3PSU(3,2)	288,894

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Extensions 1→N→G→Q→1 with N=C22 and Q=PSU3(𝔽2)