Extensions 1→N→G→Q→1 with N=C₂×C₅⋊C₈ and Q=S₃

Direct product G=N×Q with N=C₂×C₅⋊C₈ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×C₅⋊C₈		240		C2xS3xC5:C8	480,1002

Semidirect products G=N:Q with N=C₂×C₅⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊C₈)⋊₁S₃ = Dic₅.₂₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	240		(C2xC5:C8):1S3	480,246
(C₂×C₅⋊C₈)⋊₂S₃ = D₃₀⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	240		(C2xC5:C8):2S3	480,247
(C₂×C₅⋊C₈)⋊₃S₃ = C₅⋊C₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	240	8	(C2xC5:C8):3S3	480,1003
(C₂×C₅⋊C₈)⋊₄S₃ = C₂×D₆.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	240		(C2xC5:C8):4S3	480,1008
(C₂×C₅⋊C₈)⋊₅S₃ = C₂×Dic₃.F₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	240		(C2xC5:C8):5S3	480,1009
(C₂×C₅⋊C₈)⋊₆S₃ = C₂×D₁₅⋊C₈	φ: trivial image	240		(C2xC5:C8):6S3	480,1006

Non-split extensions G=N.Q with N=C₂×C₅⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊C₈).₁S₃ = C₃₀.M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	480		(C2xC5:C8).1S3	480,245
(C₂×C₅⋊C₈).₂S₃ = C₃₀.₄M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	480		(C2xC5:C8).2S3	480,252
(C₂×C₅⋊C₈).₃S₃ = Dic₁₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊C₈	480		(C2xC5:C8).3S3	480,253
(C₂×C₅⋊C₈).₄S₃ = Dic₃×C₅⋊C₈	φ: trivial image	480		(C2xC5:C8).4S3	480,244

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