Extensions 1→N→G→Q→1 with N=C₃ and Q=U₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=U₂(𝔽₃)

		d	ρ	Label	ID
C₃×U₂(𝔽₃)		72	2	C3xU(2,3)	288,400

Semidirect products G=N:Q with N=C₃ and Q=U₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊U₂(𝔽₃) = C₃⋊U₂(𝔽₃)	φ: U₂(𝔽₃)/C₄.A₄ → C₂ ⊆ Aut C₃	72	4	C3:U(2,3)	288,404

Non-split extensions G=N.Q with N=C₃ and Q=U₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.U₂(𝔽₃) = C₁₂.₉S₄	φ: U₂(𝔽₃)/C₄.A₄ → C₂ ⊆ Aut C₃	72	4	C3.U(2,3)	288,70

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=U2(𝔽3)