Extensions 1→N→G→Q→1 with N=C₂² and Q=CSU₂(𝔽₃)

Direct product G=N×Q with N=C₂² and Q=CSU₂(𝔽₃)

		d	ρ	Label	ID
C₂²×CSU₂(𝔽₃)		64		C2^2xCSU(2,3)	192,1474

Semidirect products G=N:Q with N=C₂² and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊CSU₂(𝔽₃) = Q₈.₁S₄	φ: CSU₂(𝔽₃)/Q₈ → S₃ ⊆ Aut C₂²	48	6-	C2^2:CSU(2,3)	192,1489
C₂²⋊₂CSU₂(𝔽₃) = C₂³.₁₄S₄	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₂²	32		C2^2:2CSU(2,3)	192,978

Non-split extensions G=N.Q with N=C₂² and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².CSU₂(𝔽₃) = C₂³.₇S₄	φ: CSU₂(𝔽₃)/Q₈ → S₃ ⊆ Aut C₂²	24	6	C2^2.CSU(2,3)	192,180
C₂².₂CSU₂(𝔽₃) = C₂×Q₈⋊Dic₃	central extension (φ=1)	64		C2^2.2CSU(2,3)	192,977

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Extensions 1→N→G→Q→1 with N=C22 and Q=CSU2(𝔽3)