Extensions 1→N→G→Q→1 with N=C₂×C₅⋊₂C₈ and Q=S₃

Direct product G=N×Q with N=C₂×C₅⋊₂C₈ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×C₅⋊₂C₈		240		C2xS3xC5:2C8	480,361

Semidirect products G=N:Q with N=C₂×C₅⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊₂C₈)⋊₁S₃ = C₁₀.D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):1S3	480,43
(C₂×C₅⋊₂C₈)⋊₂S₃ = D₆₀⋊₁₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):2S3	480,45
(C₂×C₅⋊₂C₈)⋊₃S₃ = D₁₂.₂Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240	4	(C2xC5:2C8):3S3	480,362
(C₂×C₅⋊₂C₈)⋊₄S₃ = D₆₀.₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240	4	(C2xC5:2C8):4S3	480,366
(C₂×C₅⋊₂C₈)⋊₅S₃ = C₂×C₅⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):5S3	480,378
(C₂×C₅⋊₂C₈)⋊₆S₃ = C₂₀.₆₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240	4	(C2xC5:2C8):6S3	480,379
(C₂×C₅⋊₂C₈)⋊₇S₃ = C₂×D₁₂.D₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):7S3	480,392
(C₂×C₅⋊₂C₈)⋊₈S₃ = C₂×Dic₆⋊D₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):8S3	480,393
(C₂×C₅⋊₂C₈)⋊₉S₃ = C₆₀.₉₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):9S3	480,32
(C₂×C₅⋊₂C₈)⋊₁₀S₃ = D₃₀⋊₄C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):10S3	480,33
(C₂×C₅⋊₂C₈)⋊₁₁S₃ = C₂×D₆.Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):11S3	480,370
(C₂×C₅⋊₂C₈)⋊₁₂S₃ = C₂×D₃₀.₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240		(C2xC5:2C8):12S3	480,371
(C₂×C₅⋊₂C₈)⋊₁₃S₃ = C₂×D₁₅⋊₂C₈	φ: trivial image	240		(C2xC5:2C8):13S3	480,365

Non-split extensions G=N.Q with N=C₂×C₅⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅⋊₂C₈).₁S₃ = C₁₀.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).1S3	480,49
(C₂×C₅⋊₂C₈).₂S₃ = Dic₃₀⋊₁₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).2S3	480,51
(C₂×C₅⋊₂C₈).₃S₃ = C₆₀.₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).3S3	480,61
(C₂×C₅⋊₂C₈).₄S₃ = C₆₀.₈Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).4S3	480,64
(C₂×C₅⋊₂C₈).₅S₃ = C₆₀.₁₀₅D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240	4	(C2xC5:2C8).5S3	480,67
(C₂×C₅⋊₂C₈).₆S₃ = C₂×C₅⋊Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).6S3	480,396
(C₂×C₅⋊₂C₈).₇S₃ = C₃₀.₂₂C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).7S3	480,29
(C₂×C₅⋊₂C₈).₈S₃ = C₃₀.₂₃C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).8S3	480,30
(C₂×C₅⋊₂C₈).₉S₃ = C₆₀.₁₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).9S3	480,59
(C₂×C₅⋊₂C₈).₁₀S₃ = C₆₀.₁₅Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).10S3	480,60
(C₂×C₅⋊₂C₈).₁₁S₃ = C₆₀.C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	240	4	(C2xC5:2C8).11S3	480,303
(C₂×C₅⋊₂C₈).₁₂S₃ = C₂×C₁₅⋊C₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₅⋊₂C₈	480		(C2xC5:2C8).12S3	480,302
(C₂×C₅⋊₂C₈).₁₃S₃ = Dic₃×C₅⋊₂C₈	φ: trivial image	480		(C2xC5:2C8).13S3	480,26
(C₂×C₅⋊₂C₈).₁₄S₃ = Dic₁₅⋊₄C₈	φ: trivial image	480		(C2xC5:2C8).14S3	480,27

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