Extensions 1→N→G→Q→1 with N=CSU₂(𝔽₃) and Q=C₂²

Direct product G=N×Q with N=CSU₂(𝔽₃) and Q=C₂²

		d	ρ	Label	ID
C₂²×CSU₂(𝔽₃)		64		C2^2xCSU(2,3)	192,1474

Semidirect products G=N:Q with N=CSU₂(𝔽₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
CSU₂(𝔽₃)⋊₁C₂² = C₂×Q₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	32		CSU(2,3):1C2^2	192,1476
CSU₂(𝔽₃)⋊₂C₂² = C₂×C₄.S₄	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	64		CSU(2,3):2C2^2	192,1479
CSU₂(𝔽₃)⋊₃C₂² = GL₂(𝔽₃)⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	32	4	CSU(2,3):3C2^2	192,1482
CSU₂(𝔽₃)⋊₄C₂² = Q₈.₆S₄	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	32	4	CSU(2,3):4C2^2	192,1483
CSU₂(𝔽₃)⋊₅C₂² = D₄.₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	16	4	CSU(2,3):5C2^2	192,1485
CSU₂(𝔽₃)⋊₆C₂² = C₂×C₄.₆S₄	φ: trivial image	32		CSU(2,3):6C2^2	192,1480
CSU₂(𝔽₃)⋊₇C₂² = Q₈.₇S₄	φ: trivial image	32	4+	CSU(2,3):7C2^2	192,1484

Non-split extensions G=N.Q with N=CSU₂(𝔽₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
CSU₂(𝔽₃).C₂² = D₄.₅S₄	φ: C₂²/C₂ → C₂ ⊆ Out CSU₂(𝔽₃)	32	4-	CSU(2,3).C2^2	192,1486

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁