Extensions 1→N→G→Q→1 with N=S₃xQ₈ and Q=S₃

Direct product G=NxQ with N=S₃xQ₈ and Q=S₃

		d	ρ	Label	ID
S₃²xQ₈		48	8-	S3^2xQ8	288,965

Semidirect products G=N:Q with N=S₃xQ₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈):₁S₃ = D₆.S₄	φ: S₃/C₁ → S₃ ⊆ Out S₃xQ₈	48	4-	(S3xQ8):1S3	288,849
(S₃xQ₈):₂S₃ = D₆.₂S₄	φ: S₃/C₁ → S₃ ⊆ Out S₃xQ₈	48	4	(S3xQ8):2S3	288,850
(S₃xQ₈):₃S₃ = S₃xGL₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out S₃xQ₈	24	4	(S3xQ8):3S3	288,851
(S₃xQ₈):₄S₃ = S₃xQ₈:₂S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	48	8+	(S3xQ8):4S3	288,586
(S₃xQ₈):₅S₃ = D₁₂.₂₄D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	96	8-	(S3xQ8):5S3	288,594
(S₃xQ₈):₆S₃ = Dic₆.₂₂D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	48	8+	(S3xQ8):6S3	288,596
(S₃xQ₈):₇S₃ = D₁₂.₂₅D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	48	8-	(S3xQ8):7S3	288,963
(S₃xQ₈):₈S₃ = Dic₆.₂₆D₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	48	8+	(S3xQ8):8S3	288,964
(S₃xQ₈):₉S₃ = S₃xQ₈:₃S₃	φ: trivial image	48	8+	(S3xQ8):9S3	288,966

Non-split extensions G=N.Q with N=S₃xQ₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈).S₃ = S₃xCSU₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out S₃xQ₈	48	4-	(S3xQ8).S3	288,848
(S₃xQ₈).₂S₃ = S₃xC₃:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out S₃xQ₈	96	8-	(S3xQ8).2S3	288,590

׿

x

:

Z

F

o

wr

Q

<