Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×CSU₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=C₂×CSU₂(𝔽₃)

		d	ρ	Label	ID
C₆×CSU₂(𝔽₃)		96		C6xCSU(2,3)	288,899

Semidirect products G=N:Q with N=C₃ and Q=C₂×CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×CSU₂(𝔽₃)) = S₃×CSU₂(𝔽₃)	φ: C₂×CSU₂(𝔽₃)/CSU₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4-	C3:1(C2xCSU(2,3))	288,848
C₃⋊₂(C₂×CSU₂(𝔽₃)) = C₂×C₆.₅S₄	φ: C₂×CSU₂(𝔽₃)/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	96		C3:2(C2xCSU(2,3))	288,910

Non-split extensions G=N.Q with N=C₃ and Q=C₂×CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×CSU₂(𝔽₃)) = C₂×Q₈.D₉	φ: C₂×CSU₂(𝔽₃)/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	288		C3.(C2xCSU(2,3))	288,335

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×CSU2(𝔽3)