Extensions 1→N→G→Q→1 with N=C₃² and Q=CSU₂(𝔽₃)

Direct product G=N×Q with N=C₃² and Q=CSU₂(𝔽₃)

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

Semidirect products G=N:Q with N=C₃² and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁CSU₂(𝔽₃) = C₃²⋊CSU₂(𝔽₃)	φ: CSU₂(𝔽₃)/Q₈ → S₃ ⊆ Aut C₃²	144	12-	C3^2:1CSU(2,3)	432,247
C₃²⋊₂CSU₂(𝔽₃) = C₃²⋊₂CSU₂(𝔽₃)	φ: CSU₂(𝔽₃)/Q₈ → S₃ ⊆ Aut C₃²	144	6	C3^2:2CSU(2,3)	432,257
C₃²⋊₃CSU₂(𝔽₃) = C₃×C₆.₅S₄	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃²	48	4	C3^2:3CSU(2,3)	432,616
C₃²⋊₄CSU₂(𝔽₃) = C₃²⋊₄CSU₂(𝔽₃)	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃²	144		C3^2:4CSU(2,3)	432,619

Non-split extensions G=N.Q with N=C₃² and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².CSU₂(𝔽₃) = C₃².CSU₂(𝔽₃)	φ: CSU₂(𝔽₃)/Q₈ → S₃ ⊆ Aut C₃²	144	12-	C3^2.CSU(2,3)	432,243
C₃².₂CSU₂(𝔽₃) = C₃×Q₈.D₉	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃²	144	4	C3^2.2CSU(2,3)	432,244
C₃².₃CSU₂(𝔽₃) = C₃².₃CSU₂(𝔽₃)	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃²	432		C3^2.3CSU(2,3)	432,255

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