Extensions 1→N→G→Q→1 with N=C₉×SL₂(𝔽₃) and Q=C₂

Direct product G=N×Q with N=C₉×SL₂(𝔽₃) and Q=C₂

		d	ρ	Label	ID
C₁₈×SL₂(𝔽₃)		144		C18xSL(2,3)	432,327

Semidirect products G=N:Q with N=C₉×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×SL₂(𝔽₃))⋊₁C₂ = C₁₈.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	72	4+	(C9xSL(2,3)):1C2	432,253
(C₉×SL₂(𝔽₃))⋊₂C₂ = Dic₉.₂A₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	144	4+	(C9xSL(2,3)):2C2	432,262
(C₉×SL₂(𝔽₃))⋊₃C₂ = D₉×SL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	72	4-	(C9xSL(2,3)):3C2	432,264
(C₉×SL₂(𝔽₃))⋊₄C₂ = C₉×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	72	2	(C9xSL(2,3)):4C2	432,241
(C₉×SL₂(𝔽₃))⋊₅C₂ = C₉×C₄.A₄	φ: trivial image	144	2	(C9xSL(2,3)):5C2	432,329

Non-split extensions G=N.Q with N=C₉×SL₂(𝔽₃) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×SL₂(𝔽₃)).₁C₂ = C₁₈.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	144	4-	(C9xSL(2,3)).1C2	432,252
(C₉×SL₂(𝔽₃)).₂C₂ = C₉×CSU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₉×SL₂(𝔽₃)	144	2	(C9xSL(2,3)).2C2	432,240

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