Extensions 1→N→G→Q→1 with N=Q₈×C₁₀ and Q=S₃

Direct product G=N×Q with N=Q₈×C₁₀ and Q=S₃

		d	ρ	Label	ID
S₃×Q₈×C₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=Q₈×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀)⋊₁S₃ = C₂×Q₈⋊D₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	80		(Q8xC10):1S3	480,1028
(Q₈×C₁₀)⋊₂S₃ = Q₈.D₃₀	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):2S3	480,1029
(Q₈×C₁₀)⋊₃S₃ = C₁₀×GL₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	80		(Q8xC10):3S3	480,1017
(Q₈×C₁₀)⋊₄S₃ = C₅×Q₈.D₆	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):4S3	480,1018
(Q₈×C₁₀)⋊₅S₃ = C₂×Q₈⋊₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):5S3	480,906
(Q₈×C₁₀)⋊₆S₃ = Q₈.₁₁D₃₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):6S3	480,907
(Q₈×C₁₀)⋊₇S₃ = D₃₀⋊₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):7S3	480,911
(Q₈×C₁₀)⋊₈S₃ = C₆₀.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):8S3	480,912
(Q₈×C₁₀)⋊₉S₃ = C₂×Q₈×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):9S3	480,1172
(Q₈×C₁₀)⋊₁₀S₃ = C₂×Q₈⋊₃D₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):10S3	480,1173
(Q₈×C₁₀)⋊₁₁S₃ = Q₈.₁₅D₃₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):11S3	480,1174
(Q₈×C₁₀)⋊₁₂S₃ = C₁₀×Q₈⋊₂S₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):12S3	480,820
(Q₈×C₁₀)⋊₁₃S₃ = C₅×Q₈.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):13S3	480,821
(Q₈×C₁₀)⋊₁₄S₃ = C₅×D₆⋊₃Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):14S3	480,825
(Q₈×C₁₀)⋊₁₅S₃ = C₅×C₁₂.₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):15S3	480,826
(Q₈×C₁₀)⋊₁₆S₃ = C₅×Q₈.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):16S3	480,1159
(Q₈×C₁₀)⋊₁₇S₃ = C₁₀×Q₈⋊₃S₃	φ: trivial image	240		(Q8xC10):17S3	480,1158

Non-split extensions G=N.Q with N=Q₈×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀).₁S₃ = Q₈⋊Dic₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).1S3	480,260
(Q₈×C₁₀).₂S₃ = C₂×Q₈.D₁₅	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).2S3	480,1027
(Q₈×C₁₀).₃S₃ = C₅×Q₈⋊Dic₃	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).3S3	480,256
(Q₈×C₁₀).₄S₃ = C₁₀×CSU₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).4S3	480,1016
(Q₈×C₁₀).₅S₃ = Q₈⋊₂Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).5S3	480,195
(Q₈×C₁₀).₆S₃ = C₆₀.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10).6S3	480,196
(Q₈×C₁₀).₇S₃ = C₂×C₁₅⋊₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).7S3	480,908
(Q₈×C₁₀).₈S₃ = Dic₁₅⋊₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).8S3	480,909
(Q₈×C₁₀).₉S₃ = Q₈×Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).9S3	480,910
(Q₈×C₁₀).₁₀S₃ = C₅×Q₈⋊₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).10S3	480,154
(Q₈×C₁₀).₁₁S₃ = C₅×C₁₂.₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10).11S3	480,155
(Q₈×C₁₀).₁₂S₃ = C₁₀×C₃⋊Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).12S3	480,822
(Q₈×C₁₀).₁₃S₃ = C₅×Dic₃⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).13S3	480,823
(Q₈×C₁₀).₁₄S₃ = C₅×Q₈×Dic₃	φ: trivial image	480		(Q8xC10).14S3	480,824

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