Extensions 1→N→G→Q→1 with N=Q₈×C₁₀ and Q=C₆

Direct product G=N×Q with N=Q₈×C₁₀ and Q=C₆

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=Q₈×C₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀)⋊₁C₆ = C₂×D₅×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₁₀	80		(Q8xC10):1C6	480,1039
(Q₈×C₁₀)⋊₂C₆ = SL₂(𝔽₃).₁₁D₁₀	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):2C6	480,1040
(Q₈×C₁₀)⋊₃C₆ = C₅×D₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₁₀	80	4	(Q8xC10):3C6	480,1132
(Q₈×C₁₀)⋊₄C₆ = C₂×C₁₀×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10):4C6	480,1128
(Q₈×C₁₀)⋊₅C₆ = C₆×Q₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):5C6	480,734
(Q₈×C₁₀)⋊₆C₆ = C₃×C₂₀.C₂³	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):6C6	480,735
(Q₈×C₁₀)⋊₇C₆ = C₃×D₁₀⋊₃Q₈	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):7C6	480,739
(Q₈×C₁₀)⋊₈C₆ = C₃×C₂₀.₂₃D₄	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):8C6	480,740
(Q₈×C₁₀)⋊₉C₆ = C₆×Q₈×D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):9C6	480,1142
(Q₈×C₁₀)⋊₁₀C₆ = C₆×Q₈⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):10C6	480,1143
(Q₈×C₁₀)⋊₁₁C₆ = C₃×Q₈.₁₀D₁₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):11C6	480,1144
(Q₈×C₁₀)⋊₁₂C₆ = C₁₅×C₂²⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):12C6	480,927
(Q₈×C₁₀)⋊₁₃C₆ = C₁₅×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):13C6	480,929
(Q₈×C₁₀)⋊₁₄C₆ = SD₁₆×C₃₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240		(Q8xC10):14C6	480,938
(Q₈×C₁₀)⋊₁₅C₆ = C₁₅×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):15C6	480,942
(Q₈×C₁₀)⋊₁₆C₆ = C₁₅×2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10):16C6	480,1185
(Q₈×C₁₀)⋊₁₇C₆ = C₄○D₄×C₃₀	φ: trivial image	240		(Q8xC10):17C6	480,1183

Non-split extensions G=N.Q with N=Q₈×C₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₀).₁C₆ = Dic₅×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₁₀	160		(Q8xC10).1C6	480,266
(Q₈×C₁₀).₂C₆ = C₂×Dic₅.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₁₀	160		(Q8xC10).2C6	480,1038
(Q₈×C₁₀).₃C₆ = C₂₀×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).3C6	480,655
(Q₈×C₁₀).₄C₆ = C₁₀×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₁₀	160		(Q8xC10).4C6	480,1130
(Q₈×C₁₀).₅C₆ = C₃×Q₈⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).5C6	480,113
(Q₈×C₁₀).₆C₆ = C₃×C₂₀.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10).6C6	480,114
(Q₈×C₁₀).₇C₆ = C₆×C₅⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).7C6	480,736
(Q₈×C₁₀).₈C₆ = C₃×Dic₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).8C6	480,737
(Q₈×C₁₀).₉C₆ = C₃×Q₈×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).9C6	480,738
(Q₈×C₁₀).₁₀C₆ = C₁₅×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	240	4	(Q8xC10).10C6	480,204
(Q₈×C₁₀).₁₁C₆ = C₁₅×Q₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).11C6	480,206
(Q₈×C₁₀).₁₂C₆ = C₁₅×C₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).12C6	480,933
(Q₈×C₁₀).₁₃C₆ = Q₁₆×C₃₀	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₁₀	480		(Q8xC10).13C6	480,939
(Q₈×C₁₀).₁₄C₆ = Q₈×C₆₀	φ: trivial image	480		(Q8xC10).14C6	480,924

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁