Extensions 1→N→G→Q→1 with N=C₃×D₈ and Q=S₃

Direct product G=N×Q with N=C₃×D₈ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×D₈		48	4	C3xS3xD8	288,681

Semidirect products G=N:Q with N=C₃×D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈)⋊₁S₃ = C₃²⋊₇D₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144		(C3xD8):1S3	288,301
(C₃×D₈)⋊₂S₃ = D₈×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	72		(C3xD8):2S3	288,767
(C₃×D₈)⋊₃S₃ = C₂₄.₂₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144		(C3xD8):3S3	288,769
(C₃×D₈)⋊₄S₃ = C₂₄⋊₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	72		(C3xD8):4S3	288,768
(C₃×D₈)⋊₅S₃ = C₃×C₃⋊D₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):5S3	288,260
(C₃×D₈)⋊₆S₃ = C₃×D₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8):6S3	288,682
(C₃×D₈)⋊₇S₃ = C₃×D₈⋊₃S₃	φ: trivial image	48	4	(C3xD8):7S3	288,683

Non-split extensions G=N.Q with N=C₃×D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₈).₁S₃ = C₉⋊D₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144	4+	(C3xD8).1S3	288,33
(C₃×D₈).₂S₃ = D₈.D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144	4-	(C3xD8).2S3	288,34
(C₃×D₈).₃S₃ = D₈×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	72	4+	(C3xD8).3S3	288,120
(C₃×D₈).₄S₃ = D₈⋊₃D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144	4-	(C3xD8).4S3	288,122
(C₃×D₈).₅S₃ = C₃²⋊₈SD₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	144		(C3xD8).5S3	288,302
(C₃×D₈).₆S₃ = D₈⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	72	4	(C3xD8).6S3	288,121
(C₃×D₈).₇S₃ = C₃×D₈.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₈	48	4	(C3xD8).7S3	288,261

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁