Extensions 1→N→G→Q→1 with N=C₆ and Q=CSU₂(𝔽₃)

Direct product G=N×Q with N=C₆ and Q=CSU₂(𝔽₃)

		d	ρ	Label	ID
C₆×CSU₂(𝔽₃)		96		C6xCSU(2,3)	288,899

Semidirect products G=N:Q with N=C₆ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊CSU₂(𝔽₃) = C₂×C₆.₅S₄	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	96		C6:CSU(2,3)	288,910

Non-split extensions G=N.Q with N=C₆ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁CSU₂(𝔽₃) = Q₈⋊Dic₉	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	288		C6.1CSU(2,3)	288,69
C₆.₂CSU₂(𝔽₃) = C₂×Q₈.D₉	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	288		C6.2CSU(2,3)	288,335
C₆.₃CSU₂(𝔽₃) = C₆.GL₂(𝔽₃)	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₆	96		C6.3CSU(2,3)	288,403
C₆.₄CSU₂(𝔽₃) = C₃×Q₈⋊Dic₃	central extension (φ=1)	96		C6.4CSU(2,3)	288,399

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