Extensions 1→N→G→Q→1 with N=D₅⋊C₈ and Q=C₆

Direct product G=N×Q with N=D₅⋊C₈ and Q=C₆

		d	ρ	Label	ID
C₆×D₅⋊C₈		240		C6xD5:C8	480,1047

Semidirect products G=N:Q with N=D₅⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈⋊₁C₆ = C₃×D₂₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8	D5:C8:1C6	480,287
D₅⋊C₈⋊₂C₆ = C₃×D₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	240	8	D5:C8:2C6	480,1053
D₅⋊C₈⋊₃C₆ = C₃×Q₈.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	240	8	D5:C8:3C6	480,1055
D₅⋊C₈⋊₄C₆ = C₃×D₅⋊M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	120	4	D5:C8:4C6	480,1049

Non-split extensions G=N.Q with N=D₅⋊C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈.₁C₆ = C₃×Q₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8	D5:C8.1C6	480,289
D₅⋊C₈.₂C₆ = C₃×C₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅⋊C₈	120	4	D5:C8.2C6	480,272
D₅⋊C₈.₃C₆ = F₅×C₂₄	φ: trivial image	120	4	D5:C8.3C6	480,271

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