Extensions 1→N→G→Q→1 with N=C₅xS₃xQ₈ and Q=C₂

Direct product G=NxQ with N=C₅xS₃xQ₈ and Q=C₂

		d	ρ	Label	ID
S₃xQ₈xC₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=C₅xS₃xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xS₃xQ₈):₁C₂ = S₃xQ₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	120	8+	(C5xS3xQ8):1C2	480,579
(C₅xS₃xQ₈):₂C₂ = D₂₀.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	8-	(C5xS3xQ8):2C2	480,594
(C₅xS₃xQ₈):₃C₂ = C₆₀.₄₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	8+	(C5xS3xQ8):3C2	480,596
(C₅xS₃xQ₈):₄C₂ = D₂₀.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	8-	(C5xS3xQ8):4C2	480,1104
(C₅xS₃xQ₈):₅C₂ = C₃₀.₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	8+	(C5xS3xQ8):5C2	480,1105
(C₅xS₃xQ₈):₆C₂ = S₃xQ₈xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	120	8-	(C5xS3xQ8):6C2	480,1107
(C₅xS₃xQ₈):₇C₂ = S₃xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	120	8+	(C5xS3xQ8):7C2	480,1109
(C₅xS₃xQ₈):₈C₂ = C₅xS₃xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	120	4	(C5xS3xQ8):8C2	480,792
(C₅xS₃xQ₈):₉C₂ = C₅xD₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	4	(C5xS3xQ8):9C2	480,794
(C₅xS₃xQ₈):₁₀C₂ = C₅xQ₁₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	4	(C5xS3xQ8):10C2	480,797
(C₅xS₃xQ₈):₁₁C₂ = C₅xQ₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	4	(C5xS3xQ8):11C2	480,1159
(C₅xS₃xQ₈):₁₂C₂ = C₅xQ₈oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	4	(C5xS3xQ8):12C2	480,1162
(C₅xS₃xQ₈):₁₃C₂ = C₅xS₃xC₄oD₄	φ: trivial image	120	4	(C5xS3xQ8):13C2	480,1160

Non-split extensions G=N.Q with N=C₅xS₃xQ₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xS₃xQ₈).₁C₂ = S₃xC₅:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	8-	(C5xS3xQ8).1C2	480,585
(C₅xS₃xQ₈).₂C₂ = C₅xS₃xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xS₃xQ₈	240	4	(C5xS3xQ8).2C2	480,796

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