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

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

		d	ρ	Label	ID
C₆xCSU₂(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) = C₂xC₆.₅S₄	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) = C₂xQ₈.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) = C₃xQ₈:Dic₃	central extension (φ=1)	96		C6.4CSU(2,3)	288,399

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