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

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

		d	ρ	Label	ID
C₃×CSU₂(𝔽₃)		48	2	C3xCSU(2,3)	144,121

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊CSU₂(𝔽₃) = C₆.₅S₄	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4-	C3:CSU(2,3)	144,124

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.CSU₂(𝔽₃) = Q₈.D₉	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	144	4-	C3.CSU(2,3)	144,31

⋊

ℤ

𝔽

○

≀

ℚ

◁

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