Extensions 1→N→G→Q→1 with N=C₂xC₅:C₈ and Q=S₃

Direct product G=NxQ with N=C₂xC₅:C₈ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xC₅:C₈		240		C2xS3xC5:C8	480,1002

Semidirect products G=N:Q with N=C₂xC₅:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:C₈):₁S₃ = Dic₅.₂₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	240		(C2xC5:C8):1S3	480,246
(C₂xC₅:C₈):₂S₃ = D₃₀:C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	240		(C2xC5:C8):2S3	480,247
(C₂xC₅:C₈):₃S₃ = C₅:C₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	240	8	(C2xC5:C8):3S3	480,1003
(C₂xC₅:C₈):₄S₃ = C₂xD₆.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	240		(C2xC5:C8):4S3	480,1008
(C₂xC₅:C₈):₅S₃ = C₂xDic₃.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	240		(C2xC5:C8):5S3	480,1009
(C₂xC₅:C₈):₆S₃ = C₂xD₁₅:C₈	φ: trivial image	240		(C2xC5:C8):6S3	480,1006

Non-split extensions G=N.Q with N=C₂xC₅:C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:C₈).₁S₃ = C₃₀.M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	480		(C2xC5:C8).1S3	480,245
(C₂xC₅:C₈).₂S₃ = C₃₀.₄M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	480		(C2xC5:C8).2S3	480,252
(C₂xC₅:C₈).₃S₃ = Dic₁₅:C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xC₅:C₈	480		(C2xC5:C8).3S3	480,253
(C₂xC₅:C₈).₄S₃ = Dic₃xC₅:C₈	φ: trivial image	480		(C2xC5:C8).4S3	480,244

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