Extensions 1→N→G→Q→1 with N=C₉ and Q=CSU₂(𝔽₃)

Direct product G=N×Q with N=C₉ and Q=CSU₂(𝔽₃)

		d	ρ	Label	ID
C₉×CSU₂(𝔽₃)		144	2	C9xCSU(2,3)	432,240

Semidirect products G=N:Q with N=C₉ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊CSU₂(𝔽₃) = C₁₈.₅S₄	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	144	4-	C9:CSU(2,3)	432,252

Non-split extensions G=N.Q with N=C₉ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.CSU₂(𝔽₃) = Q₈.D₂₇	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₉	432	4-	C9.CSU(2,3)	432,37

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=CSU2(𝔽3)