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

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

		d	ρ	Label	ID
C₃²×SL₂(𝔽₃)		72		C3^2xSL(2,3)	216,134

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃))⋊C₃ = Q₈⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×SL₂(𝔽₃)	72	6	(C3xSL(2,3)):C3	216,42

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃)).C₃ = C₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×SL₂(𝔽₃)	72	6	(C3xSL(2,3)).C3	216,39
(C₃×SL₂(𝔽₃)).₂C₃ = C₉×SL₂(𝔽₃)	φ: trivial image	72	2	(C3xSL(2,3)).2C3	216,38

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