Extensions 1→N→G→Q→1 with N=Q₈ and Q=S₃xC₁₀

Direct product G=NxQ with N=Q₈ and Q=S₃xC₁₀

		d	ρ	Label	ID
S₃xQ₈xC₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=Q₈ and Q=S₃xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(S₃xC₁₀) = C₁₀xGL₂(F₃)	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	80		Q8:(S3xC10)	480,1017
Q₈:₂(S₃xC₁₀) = C₅xS₃xSD₁₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	120	4	Q8:2(S3xC10)	480,792
Q₈:₃(S₃xC₁₀) = C₅xQ₈:₃D₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	120	4	Q8:3(S3xC10)	480,793
Q₈:₄(S₃xC₁₀) = C₁₀xQ₈:₂S₃	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	240		Q8:4(S3xC10)	480,820
Q₈:₅(S₃xC₁₀) = C₅xD₄:D₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:5(S3xC10)	480,828
Q₈:₆(S₃xC₁₀) = C₁₀xQ₈:₃S₃	φ: trivial image	240		Q8:6(S3xC10)	480,1158
Q₈:₇(S₃xC₁₀) = C₅xS₃xC₄oD₄	φ: trivial image	120	4	Q8:7(S3xC10)	480,1160
Q₈:₈(S₃xC₁₀) = C₅xD₄oD₁₂	φ: trivial image	120	4	Q8:8(S3xC10)	480,1161

Non-split extensions G=N.Q with N=Q₈ and Q=S₃xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(S₃xC₁₀) = C₁₀xCSU₂(F₃)	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	160		Q8.1(S3xC10)	480,1016
Q₈.₂(S₃xC₁₀) = C₅xQ₈.D₆	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	80	4	Q8.2(S3xC10)	480,1018
Q₈.₃(S₃xC₁₀) = C₅xC₄.S₄	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	160	4	Q8.3(S3xC10)	480,1019
Q₈.₄(S₃xC₁₀) = C₅xC₄.₆S₄	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	80	2	Q8.4(S3xC10)	480,1020
Q₈.₅(S₃xC₁₀) = C₅xC₄.₃S₄	φ: S₃xC₁₀/C₁₀ → S₃ ⊆ Out Q₈	80	4	Q8.5(S3xC10)	480,1021
Q₈.₆(S₃xC₁₀) = C₅xD₄.D₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	240	4	Q8.6(S3xC10)	480,794
Q₈.₇(S₃xC₁₀) = C₅xQ₈.₇D₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	240	4	Q8.7(S3xC10)	480,795
Q₈.₈(S₃xC₁₀) = C₅xS₃xQ₁₆	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	240	4	Q8.8(S3xC10)	480,796
Q₈.₉(S₃xC₁₀) = C₅xQ₁₆:S₃	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	240	4	Q8.9(S3xC10)	480,797
Q₈.₁₀(S₃xC₁₀) = C₅xD₂₄:C₂	φ: S₃xC₁₀/C₅xS₃ → C₂ ⊆ Out Q₈	240	4	Q8.10(S3xC10)	480,798
Q₈.₁₁(S₃xC₁₀) = C₅xQ₈.₁₁D₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.11(S3xC10)	480,821
Q₈.₁₂(S₃xC₁₀) = C₁₀xC₃:Q₁₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	480		Q8.12(S3xC10)	480,822
Q₈.₁₃(S₃xC₁₀) = C₅xQ₈.₁₃D₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.13(S3xC10)	480,829
Q₈.₁₄(S₃xC₁₀) = C₅xQ₈.₁₄D₆	φ: S₃xC₁₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.14(S3xC10)	480,830
Q₈.₁₅(S₃xC₁₀) = C₅xQ₈.₁₅D₆	φ: trivial image	240	4	Q8.15(S3xC10)	480,1159
Q₈.₁₆(S₃xC₁₀) = C₅xQ₈oD₁₂	φ: trivial image	240	4	Q8.16(S3xC10)	480,1162

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