Extensions 1→N→G→Q→1 with N=C₃xSL₂(F₃) and Q=C₂²

Direct product G=NxQ with N=C₃xSL₂(F₃) and Q=C₂²

		d	ρ	Label	ID
C₂xC₆xSL₂(F₃)		96		C2xC6xSL(2,3)	288,981

Semidirect products G=N:Q with N=C₃xSL₂(F₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSL₂(F₃)):₁C₂² = GL₂(F₃):S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4+	(C3xSL(2,3)):1C2^2	288,847
(C₃xSL₂(F₃)):₂C₂² = S₃xGL₂(F₃)	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	24	4	(C3xSL(2,3)):2C2^2	288,851
(C₃xSL₂(F₃)):₃C₂² = C₂xC₆.₆S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48		(C3xSL(2,3)):3C2^2	288,911
(C₃xSL₂(F₃)):₄C₂² = C₁₂.₇S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4+	(C3xSL(2,3)):4C2^2	288,915
(C₃xSL₂(F₃)):₅C₂² = C₂xDic₃.A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	96		(C3xSL(2,3)):5C2^2	288,921
(C₃xSL₂(F₃)):₆C₂² = C₂xS₃xSL₂(F₃)	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48		(C3xSL(2,3)):6C2^2	288,922
(C₃xSL₂(F₃)):₇C₂² = Dic₆.A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	72	4+	(C3xSL(2,3)):7C2^2	288,924
(C₃xSL₂(F₃)):₈C₂² = S₃xC₄.A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)):8C2^2	288,925
(C₃xSL₂(F₃)):₉C₂² = C₆xGL₂(F₃)	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48		(C3xSL(2,3)):9C2^2	288,900
(C₃xSL₂(F₃)):₁₀C₂² = C₃xC₄.₃S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)):10C2^2	288,904
(C₃xSL₂(F₃)):₁₁C₂² = C₆xC₄.A₄	φ: trivial image	96		(C3xSL(2,3)):11C2^2	288,983
(C₃xSL₂(F₃)):₁₂C₂² = C₃xQ₈.A₄	φ: trivial image	72	4	(C3xSL(2,3)):12C2^2	288,984

Non-split extensions G=N.Q with N=C₃xSL₂(F₃) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSL₂(F₃)).₁C₂² = CSU₂(F₃):S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	96	4	(C3xSL(2,3)).1C2^2	288,844
(C₃xSL₂(F₃)).₂C₂² = Dic₃.₄S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).2C2^2	288,845
(C₃xSL₂(F₃)).₃C₂² = Dic₃.₅S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4+	(C3xSL(2,3)).3C2^2	288,846
(C₃xSL₂(F₃)).₄C₂² = S₃xCSU₂(F₃)	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4-	(C3xSL(2,3)).4C2^2	288,848
(C₃xSL₂(F₃)).₅C₂² = D₆.S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4-	(C3xSL(2,3)).5C2^2	288,849
(C₃xSL₂(F₃)).₆C₂² = D₆.₂S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).6C2^2	288,850
(C₃xSL₂(F₃)).₇C₂² = C₂xC₆.₅S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	96		(C3xSL(2,3)).7C2^2	288,910
(C₃xSL₂(F₃)).₈C₂² = SL₂(F₃).D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).8C2^2	288,912
(C₃xSL₂(F₃)).₉C₂² = C₁₂.₆S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	96	4-	(C3xSL(2,3)).9C2^2	288,913
(C₃xSL₂(F₃)).₁₀C₂² = C₁₂.₁₄S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).10C2^2	288,914
(C₃xSL₂(F₃)).₁₁C₂² = SL₂(F₃).₁₁D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).11C2^2	288,923
(C₃xSL₂(F₃)).₁₂C₂² = D₁₂.A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4-	(C3xSL(2,3)).12C2^2	288,926
(C₃xSL₂(F₃)).₁₃C₂² = C₆xCSU₂(F₃)	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	96		(C3xSL(2,3)).13C2^2	288,899
(C₃xSL₂(F₃)).₁₄C₂² = C₃xQ₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	4	(C3xSL(2,3)).14C2^2	288,901
(C₃xSL₂(F₃)).₁₅C₂² = C₃xC₄.S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	96	4	(C3xSL(2,3)).15C2^2	288,902
(C₃xSL₂(F₃)).₁₆C₂² = C₃xC₄.₆S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃xSL₂(F₃)	48	2	(C3xSL(2,3)).16C2^2	288,903
(C₃xSL₂(F₃)).₁₇C₂² = C₃xD₄.A₄	φ: trivial image	48	4	(C3xSL(2,3)).17C2^2	288,985

׿

x

:

Z

F

o

wr

Q

<