Extensions 1→N→G→Q→1 with N=C₃ and Q=PSU₃(𝔽₂)

Direct product G=N×Q with N=C₃ and Q=PSU₃(𝔽₂)

		d	ρ	Label	ID
C₃×PSU₃(𝔽₂)		24	8	C3xPSU(3,2)	216,160

Semidirect products G=N:Q with N=C₃ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊PSU₃(𝔽₂) = C₃³⋊Q₈	φ: PSU₃(𝔽₂)/C₃²⋊C₄ → C₂ ⊆ Aut C₃	24	8	C3:PSU(3,2)	216,161

Non-split extensions G=N.Q with N=C₃ and Q=PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.PSU₃(𝔽₂) = SU₃(𝔽₂)	central stem extension (φ=1)	27	3	C3.PSU(3,2)	216,88

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Extensions 1→N→G→Q→1 with N=C3 and Q=PSU3(𝔽2)