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

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

		d	ρ	Label	ID
C₃²×CSU₂(𝔽₃)		144		C3^2xCSU(2,3)	432,613

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×CSU₂(𝔽₃)) = C₃×C₆.₅S₄	φ: C₃×CSU₂(𝔽₃)/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:(C3xCSU(2,3))	432,616

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×CSU₂(𝔽₃)) = C₃².CSU₂(𝔽₃)	φ: C₃×CSU₂(𝔽₃)/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	12-	C3.1(C3xCSU(2,3))	432,243
C₃.₂(C₃×CSU₂(𝔽₃)) = C₃×Q₈.D₉	φ: C₃×CSU₂(𝔽₃)/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	4	C3.2(C3xCSU(2,3))	432,244
C₃.₃(C₃×CSU₂(𝔽₃)) = C₃²⋊CSU₂(𝔽₃)	φ: C₃×CSU₂(𝔽₃)/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	12-	C3.3(C3xCSU(2,3))	432,247
C₃.₄(C₃×CSU₂(𝔽₃)) = C₉×CSU₂(𝔽₃)	central extension (φ=1)	144	2	C3.4(C3xCSU(2,3))	432,240

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