Extensions 1→N→G→Q→1 with N=C₆×SL₂(𝔽₃) and Q=C₃

Direct product G=N×Q with N=C₆×SL₂(𝔽₃) and Q=C₃

		d	ρ	Label	ID
C₃×C₆×SL₂(𝔽₃)		144		C3xC6xSL(2,3)	432,698

Semidirect products G=N:Q with N=C₆×SL₂(𝔽₃) and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×SL₂(𝔽₃))⋊C₃ = C₂×Q₈⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₆×SL₂(𝔽₃)	144		(C6xSL(2,3)):C3	432,336

Non-split extensions G=N.Q with N=C₆×SL₂(𝔽₃) and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×SL₂(𝔽₃)).C₃ = C₂×C₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₆×SL₂(𝔽₃)	144		(C6xSL(2,3)).C3	432,328
(C₆×SL₂(𝔽₃)).₂C₃ = C₁₈×SL₂(𝔽₃)	φ: trivial image	144		(C6xSL(2,3)).2C3	432,327

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Extensions 1→N→G→Q→1 with N=C6×SL2(𝔽3) and Q=C3