Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=S₃

Direct product G=N×Q with N=C₃×Q₈ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×Q₈		48	4	C3xS3xQ8	144,164

Semidirect products G=N:Q with N=C₃×Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁S₃ = C₆.₆S₄	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	24	4+	(C3xQ8):1S3	144,125
(C₃×Q₈)⋊₂S₃ = C₃×GL₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	24	2	(C3xQ8):2S3	144,122
(C₃×Q₈)⋊₃S₃ = C₃²⋊₁₁SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):3S3	144,98
(C₃×Q₈)⋊₄S₃ = Q₈×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):4S3	144,174
(C₃×Q₈)⋊₅S₃ = C₁₂.₂₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):5S3	144,175
(C₃×Q₈)⋊₆S₃ = C₃×Q₈⋊₂S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):6S3	144,82
(C₃×Q₈)⋊₇S₃ = C₃×Q₈⋊₃S₃	φ: trivial image	48	4	(C3xQ8):7S3	144,165

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁S₃ = Q₈.D₉	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	144	4-	(C3xQ8).1S3	144,31
(C₃×Q₈).₂S₃ = Q₈⋊D₉	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	72	4+	(C3xQ8).2S3	144,32
(C₃×Q₈).₃S₃ = C₆.₅S₄	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	48	4-	(C3xQ8).3S3	144,124
(C₃×Q₈).₄S₃ = C₃×CSU₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out C₃×Q₈	48	2	(C3xQ8).4S3	144,121
(C₃×Q₈).₅S₃ = C₉⋊Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	144	4-	(C3xQ8).5S3	144,17
(C₃×Q₈).₆S₃ = Q₈⋊₂D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72	4+	(C3xQ8).6S3	144,18
(C₃×Q₈).₇S₃ = Q₈×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72	4-	(C3xQ8).7S3	144,43
(C₃×Q₈).₈S₃ = Q₈⋊₃D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	72	4+	(C3xQ8).8S3	144,44
(C₃×Q₈).₉S₃ = C₃²⋊₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	144		(C3xQ8).9S3	144,99
(C₃×Q₈).₁₀S₃ = C₃×C₃⋊Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).10S3	144,83

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