Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×SL₂(𝔽₃)

Direct product G=N×Q with N=C₃ and Q=C₂²×SL₂(𝔽₃)

		d	ρ	Label	ID
C₂×C₆×SL₂(𝔽₃)		96		C2xC6xSL(2,3)	288,981

Semidirect products G=N:Q with N=C₃ and Q=C₂²×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×SL₂(𝔽₃)) = C₂×S₃×SL₂(𝔽₃)	φ: C₂²×SL₂(𝔽₃)/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48		C3:(C2^2xSL(2,3))	288,922

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×SL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×SL₂(𝔽₃)) = C₂²×Q₈⋊C₉	central extension (φ=1)	288		C3.(C2^2xSL(2,3))	288,345

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C22×SL2(𝔽3)