Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂.PSU₃(𝔽₂)

Direct product G=N×Q with N=C₃ and Q=C₂.PSU₃(𝔽₂)

		d	ρ	Label	ID
C₃×C₂.PSU₃(𝔽₂)		48	8	C3xC2.PSU(3,2)	432,591

Semidirect products G=N:Q with N=C₃ and Q=C₂.PSU₃(𝔽₂)

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

Non-split extensions G=N.Q with N=C₃ and Q=C₂.PSU₃(𝔽₂)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂.PSU₃(𝔽₂)) = C₂.SU₃(𝔽₂)	central stem extension (φ=1)	72	3	C3.(C2.PSU(3,2))	432,239

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2.PSU3(𝔽2)