Extensions 1→N→G→Q→1 with N=C₅xQ₈:₃S₃ and Q=C₂

Direct product G=NxQ with N=C₅xQ₈:₃S₃ and Q=C₂

		d	ρ	Label	ID
C₁₀xQ₈:₃S₃		240		C10xQ8:3S3	480,1158

Semidirect products G=N:Q with N=C₅xQ₈:₃S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈:₃S₃):₁C₂ = D₁₂:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	8+	(C5xQ8:3S3):1C2	480,580
(C₅xQ₈:₃S₃):₂C₂ = D₂₀.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	8-	(C5xQ8:3S3):2C2	480,593
(C₅xQ₈:₃S₃):₃C₂ = Dic₁₀.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	8+	(C5xQ8:3S3):3C2	480,595
(C₅xQ₈:₃S₃):₄C₂ = D₁₂.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	8-	(C5xQ8:3S3):4C2	480,1106
(C₅xQ₈:₃S₃):₅C₂ = D₅xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	8+	(C5xQ8:3S3):5C2	480,1108
(C₅xQ₈:₃S₃):₆C₂ = D₂₀:₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	8-	(C5xQ8:3S3):6C2	480,1110
(C₅xQ₈:₃S₃):₇C₂ = D₂₀:₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	8+	(C5xQ8:3S3):7C2	480,1111
(C₅xQ₈:₃S₃):₈C₂ = C₅xQ₈:₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	4	(C5xQ8:3S3):8C2	480,793
(C₅xQ₈:₃S₃):₉C₂ = C₅xQ₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	4	(C5xQ8:3S3):9C2	480,795
(C₅xQ₈:₃S₃):₁₀C₂ = C₅xD₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	4	(C5xQ8:3S3):10C2	480,798
(C₅xQ₈:₃S₃):₁₁C₂ = C₅xQ₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	4	(C5xQ8:3S3):11C2	480,1159
(C₅xQ₈:₃S₃):₁₂C₂ = C₅xD₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	120	4	(C5xQ8:3S3):12C2	480,1161
(C₅xQ₈:₃S₃):₁₃C₂ = C₅xS₃xC₄oD₄	φ: trivial image	120	4	(C5xQ8:3S3):13C2	480,1160

Non-split extensions G=N.Q with N=C₅xQ₈:₃S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈:₃S₃).₁C₂ = Dic₁₀.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	8-	(C5xQ8:3S3).1C2	480,586
(C₅xQ₈:₃S₃).₂C₂ = C₅xQ₁₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅xQ₈:₃S₃	240	4	(C5xQ8:3S3).2C2	480,797

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