Extensions 1→N→G→Q→1 with N=C₃×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₃×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₆×SL₂(𝔽₃)		48		C6xSL(2,3)	144,156

Semidirect products G=N:Q with N=C₃×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃))⋊₁C₂ = C₆.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	24	4+	(C3xSL(2,3)):1C2	144,125
(C₃×SL₂(𝔽₃))⋊₂C₂ = Dic₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	48	4+	(C3xSL(2,3)):2C2	144,127
(C₃×SL₂(𝔽₃))⋊₃C₂ = S₃×SL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	24	4-	(C3xSL(2,3)):3C2	144,128
(C₃×SL₂(𝔽₃))⋊₄C₂ = C₃×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	24	2	(C3xSL(2,3)):4C2	144,122
(C₃×SL₂(𝔽₃))⋊₅C₂ = C₃×C₄.A₄	φ: trivial image	48	2	(C3xSL(2,3)):5C2	144,157

Non-split extensions G=N.Q with N=C₃×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SL₂(𝔽₃)).₁C₂ = C₆.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	48	4-	(C3xSL(2,3)).1C2	144,124
(C₃×SL₂(𝔽₃)).₂C₂ = C₃×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×SL₂(𝔽₃)	48	2	(C3xSL(2,3)).2C2	144,121

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