Extensions 1→N→G→Q→1 with N=C₃xSL₂(F₃) and Q=C₆

Direct product G=NxQ with N=C₃xSL₂(F₃) and Q=C₆

		d	ρ	Label	ID
C₃xC₆xSL₂(F₃)		144		C3xC6xSL(2,3)	432,698

Semidirect products G=N:Q with N=C₃xSL₂(F₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSL₂(F₃)):C₆ = C₃²:₂GL₂(F₃)	φ: C₆/C₁ → C₆ ⊆ Out C₃xSL₂(F₃)	72	12+	(C3xSL(2,3)):C6	432,248
(C₃xSL₂(F₃)):₂C₆ = C₂xQ₈:He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃xSL₂(F₃)	144		(C3xSL(2,3)):2C6	432,336
(C₃xSL₂(F₃)):₃C₆ = C₄oD₄:He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃xSL₂(F₃)	72	6	(C3xSL(2,3)):3C6	432,339
(C₃xSL₂(F₃)):₄C₆ = C₃xC₆.₆S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)):4C6	432,617
(C₃xSL₂(F₃)):₅C₆ = C₃xDic₃.A₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)):5C6	432,622
(C₃xSL₂(F₃)):₆C₆ = C₃xS₃xSL₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)):6C6	432,623
(C₃xSL₂(F₃)):₇C₆ = C₃²xGL₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	72		(C3xSL(2,3)):7C6	432,614
(C₃xSL₂(F₃)):₈C₆ = C₃²xC₄.A₄	φ: trivial image	144		(C3xSL(2,3)):8C6	432,699

Non-split extensions G=N.Q with N=C₃xSL₂(F₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSL₂(F₃)).C₆ = C₃²:CSU₂(F₃)	φ: C₆/C₁ → C₆ ⊆ Out C₃xSL₂(F₃)	144	12-	(C3xSL(2,3)).C6	432,247
(C₃xSL₂(F₃)).₂C₆ = C₂xC₁₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃xSL₂(F₃)	144		(C3xSL(2,3)).2C6	432,328
(C₃xSL₂(F₃)).₃C₆ = C₃₆.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₃xSL₂(F₃)	144	6	(C3xSL(2,3)).3C6	432,330
(C₃xSL₂(F₃)).₄C₆ = C₃xC₆.₅S₄	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).4C6	432,616
(C₃xSL₂(F₃)).₅C₆ = C₉xCSU₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	144	2	(C3xSL(2,3)).5C6	432,240
(C₃xSL₂(F₃)).₆C₆ = C₉xGL₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	72	2	(C3xSL(2,3)).6C6	432,241
(C₃xSL₂(F₃)).₇C₆ = C₃²xCSU₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out C₃xSL₂(F₃)	144		(C3xSL(2,3)).7C6	432,613
(C₃xSL₂(F₃)).₈C₆ = C₁₈xSL₂(F₃)	φ: trivial image	144		(C3xSL(2,3)).8C6	432,327
(C₃xSL₂(F₃)).₉C₆ = C₉xC₄.A₄	φ: trivial image	144	2	(C3xSL(2,3)).9C6	432,329

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