Extensions 1→N→G→Q→1 with N=C₄ and Q=CSU₂(𝔽₃)

Direct product G=N×Q with N=C₄ and Q=CSU₂(𝔽₃)

		d	ρ	Label	ID
C₄×CSU₂(𝔽₃)		64		C4xCSU(2,3)	192,946

Semidirect products G=N:Q with N=C₄ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊CSU₂(𝔽₃) = Q₈.D₁₂	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4:CSU(2,3)	192,949

Non-split extensions G=N.Q with N=C₄ and Q=CSU₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.CSU₂(𝔽₃) = SL₂(𝔽₃)⋊Q₈	φ: CSU₂(𝔽₃)/SL₂(𝔽₃) → C₂ ⊆ Aut C₄	64		C4.CSU(2,3)	192,950
C₄.₂CSU₂(𝔽₃) = C₂.U₂(𝔽₃)	central extension (φ=1)	64		C4.2CSU(2,3)	192,183

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Extensions 1→N→G→Q→1 with N=C4 and Q=CSU2(𝔽3)