Extensions 1→N→G→Q→1 with N=C₄ and Q=PSU₃(𝔽₂)

Direct product G=N×Q with N=C₄ and Q=PSU₃(𝔽₂)

		d	ρ	Label	ID
C₄×PSU₃(𝔽₂)		36	8	C4xPSU(3,2)	288,892

Semidirect products G=N:Q with N=C₄ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊PSU₃(𝔽₂) = C₄⋊PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₄	36	8	C4:PSU(3,2)	288,893

Non-split extensions G=N.Q with N=C₄ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁PSU₃(𝔽₂) = C₄.PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₄	48	8	C4.1PSU(3,2)	288,393
C₄.₂PSU₃(𝔽₂) = C₄.₂PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₄	48	8	C4.2PSU(3,2)	288,394
C₄.₃PSU₃(𝔽₂) = C₄.₃PSU₃(𝔽₂)	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₄	48	8	C4.3PSU(3,2)	288,891
C₄.₄PSU₃(𝔽₂) = C₄.₄PSU₃(𝔽₂)	central extension (φ=1)	48	8	C4.4PSU(3,2)	288,392

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