Extensions 1→N→G→Q→1 with N=C₆ and Q=PSU₃(𝔽₂)

Direct product G=N×Q with N=C₆ and Q=PSU₃(𝔽₂)

		d	ρ	Label	ID
C₆×PSU₃(𝔽₂)		48	8	C6xPSU(3,2)	432,757

Semidirect products G=N:Q with N=C₆ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊PSU₃(𝔽₂) = C₂×C₃³⋊Q₈	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₆	48	8	C6:PSU(3,2)	432,758

Non-split extensions G=N.Q with N=C₆ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁PSU₃(𝔽₂) = C₆.PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₆	48	8	C6.1PSU(3,2)	432,592
C₆.₂PSU₃(𝔽₂) = C₆.₂PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₆	48	8	C6.2PSU(3,2)	432,593
C₆.₃PSU₃(𝔽₂) = C₂.SU₃(𝔽₂)	central extension (φ=1)	72	3	C6.3PSU(3,2)	432,239
C₆.₄PSU₃(𝔽₂) = C₂×SU₃(𝔽₂)	central extension (φ=1)	54	3	C6.4PSU(3,2)	432,531
C₆.₅PSU₃(𝔽₂) = C₃×C₂.PSU₃(𝔽₂)	central extension (φ=1)	48	8	C6.5PSU(3,2)	432,591

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