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

Direct product G=NxQ with N=D₅:C₈ and Q=C₆

		d	ρ	Label	ID
C₆xD₅: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 = C₃xD₂₀:C₄	φ: C₆/C₃ → C₂ ⊆ Out D₅:C₈	120	8	D5:C8:1C6	480,287
D₅:C₈:₂C₆ = C₃xD₄.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅:C₈	240	8	D5:C8:2C6	480,1053
D₅:C₈:₃C₆ = C₃xQ₈.F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅:C₈	240	8	D5:C8:3C6	480,1055
D₅:C₈:₄C₆ = C₃xD₅: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 = C₃xQ₈:F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅:C₈	120	8	D5:C8.1C6	480,289
D₅:C₈.₂C₆ = C₃xC₈:F₅	φ: C₆/C₃ → C₂ ⊆ Out D₅:C₈	120	4	D5:C8.2C6	480,272
D₅:C₈.₃C₆ = F₅xC₂₄	φ: trivial image	120	4	D5:C8.3C6	480,271

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