Extensions 1→N→G→Q→1 with N=Q₈xD₅ and Q=C₆

Direct product G=NxQ with N=Q₈xD₅ and Q=C₆

		d	ρ	Label	ID
C₆xQ₈xD₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=Q₈xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₅):₁C₆ = SL₂(F₃).₁₁D₁₀	φ: C₆/C₁ → C₆ ⊆ Out Q₈xD₅	80	4	(Q8xD5):1C6	480,1040
(Q₈xD₅):₂C₆ = D₂₀.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈xD₅	80	4-	(Q8xD5):2C6	480,1043
(Q₈xD₅):₃C₆ = C₂xD₅xSL₂(F₃)	φ: C₆/C₂ → C₃ ⊆ Out Q₈xD₅	80		(Q8xD5):3C6	480,1039
(Q₈xD₅):₄C₆ = C₃xD₅xSD₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	120	4	(Q8xD5):4C6	480,706
(Q₈xD₅):₅C₆ = C₃xSD₁₆:D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	240	4	(Q8xD5):5C6	480,708
(Q₈xD₅):₆C₆ = C₃xQ₁₆:D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	240	4	(Q8xD5):6C6	480,711
(Q₈xD₅):₇C₆ = C₃xQ₈.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	240	4	(Q8xD5):7C6	480,1144
(Q₈xD₅):₈C₆ = C₃xD₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	240	4	(Q8xD5):8C6	480,1147
(Q₈xD₅):₉C₆ = C₃xD₅xC₄oD₄	φ: trivial image	120	4	(Q8xD5):9C6	480,1145

Non-split extensions G=N.Q with N=Q₈xD₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₅).C₆ = F₅xSL₂(F₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈xD₅	40	8-	(Q8xD5).C6	480,965
(Q₈xD₅).₂C₆ = D₅xC₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈xD₅	80	4	(Q8xD5).2C6	480,1042
(Q₈xD₅).₃C₆ = C₃xD₅xQ₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	240	4	(Q8xD5).3C6	480,710
(Q₈xD₅).₄C₆ = C₃xQ₈:F₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	120	8	(Q8xD5).4C6	480,289
(Q₈xD₅).₅C₆ = C₃xQ₈xF₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈xD₅	120	8	(Q8xD5).5C6	480,1056

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