Extensions 1→N→G→Q→1 with N=Q₈×D₅ and Q=C₆

Direct product G=N×Q with N=Q₈×D₅ and Q=C₆

		d	ρ	Label	ID
C₆×Q₈×D₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=Q₈×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅)⋊₁C₆ = SL₂(𝔽₃).₁₁D₁₀	φ: C₆/C₁ → C₆ ⊆ Out Q₈×D₅	80	4	(Q8xD5):1C6	480,1040
(Q₈×D₅)⋊₂C₆ = D₂₀.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×D₅	80	4-	(Q8xD5):2C6	480,1043
(Q₈×D₅)⋊₃C₆ = C₂×D₅×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out Q₈×D₅	80		(Q8xD5):3C6	480,1039
(Q₈×D₅)⋊₄C₆ = C₃×D₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	120	4	(Q8xD5):4C6	480,706
(Q₈×D₅)⋊₅C₆ = C₃×SD₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	240	4	(Q8xD5):5C6	480,708
(Q₈×D₅)⋊₆C₆ = C₃×Q₁₆⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	240	4	(Q8xD5):6C6	480,711
(Q₈×D₅)⋊₇C₆ = C₃×Q₈.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	240	4	(Q8xD5):7C6	480,1144
(Q₈×D₅)⋊₈C₆ = C₃×D₄.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	240	4	(Q8xD5):8C6	480,1147
(Q₈×D₅)⋊₉C₆ = C₃×D₅×C₄○D₄	φ: trivial image	120	4	(Q8xD5):9C6	480,1145

Non-split extensions G=N.Q with N=Q₈×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅).C₆ = F₅×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈×D₅	40	8-	(Q8xD5).C6	480,965
(Q₈×D₅).₂C₆ = D₅×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×D₅	80	4	(Q8xD5).2C6	480,1042
(Q₈×D₅).₃C₆ = C₃×D₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	240	4	(Q8xD5).3C6	480,710
(Q₈×D₅).₄C₆ = C₃×Q₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	120	8	(Q8xD5).4C6	480,289
(Q₈×D₅).₅C₆ = C₃×Q₈×F₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×D₅	120	8	(Q8xD5).5C6	480,1056

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