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
C₆×PSU₃(𝔽₂)		48	8	C6xPSU(3,2)	432,757

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)) = S₃×PSU₃(𝔽₂)	φ: C₂×PSU₃(𝔽₂)/PSU₃(𝔽₂) → C₂ ⊆ Aut C₃	24	16+	C3:1(C2xPSU(3,2))	432,742
C₃⋊₂(C₂×PSU₃(𝔽₂)) = C₂×C₃³⋊Q₈	φ: C₂×PSU₃(𝔽₂)/C₂×C₃²⋊C₄ → C₂ ⊆ Aut C₃	48	8	C3:2(C2xPSU(3,2))	432,758

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)	54	3	C3.(C2xPSU(3,2))	432,531

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