Extensions 1→N→G→Q→1 with N=C₄×Q₈ and Q=C₁₀

Direct product G=N×Q with N=C₄×Q₈ and Q=C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=C₄×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈)⋊₁C₁₀ = SD₁₆×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):1C10	320,939
(C₄×Q₈)⋊₂C₁₀ = C₅×SD₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):2C10	320,941
(C₄×Q₈)⋊₃C₁₀ = C₅×C₄⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):3C10	320,961
(C₄×Q₈)⋊₄C₁₀ = C₅×Q₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):4C10	320,965
(C₄×Q₈)⋊₅C₁₀ = C₅×C₂³.₃₂C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):5C10	320,1521
(C₄×Q₈)⋊₆C₁₀ = C₅×C₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):6C10	320,1522
(C₄×Q₈)⋊₇C₁₀ = C₅×C₂³.₃₆C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):7C10	320,1531
(C₄×Q₈)⋊₈C₁₀ = C₅×C₂³.₃₇C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):8C10	320,1535
(C₄×Q₈)⋊₉C₁₀ = C₅×C₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):9C10	320,1543
(C₄×Q₈)⋊₁₀C₁₀ = C₅×C₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):10C10	320,1544
(C₄×Q₈)⋊₁₁C₁₀ = C₅×Q₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):11C10	320,1550
(C₄×Q₈)⋊₁₂C₁₀ = C₅×D₄×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):12C10	320,1551
(C₄×Q₈)⋊₁₃C₁₀ = C₅×Q₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):13C10	320,1552
(C₄×Q₈)⋊₁₄C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):14C10	320,1554
(C₄×Q₈)⋊₁₅C₁₀ = C₅×D₄⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):15C10	320,1556
(C₄×Q₈)⋊₁₆C₁₀ = C₅×C₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):16C10	320,1558
(C₄×Q₈)⋊₁₇C₁₀ = C₅×C₂².₅₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	160		(C4xQ8):17C10	320,1561
(C₄×Q₈)⋊₁₈C₁₀ = C₄○D₄×C₂₀	φ: trivial image	160		(C4xQ8):18C10	320,1519

Non-split extensions G=N.Q with N=C₄×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Q₈).₁C₁₀ = C₅×Q₈⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).1C10	320,131
(C₄×Q₈).₂C₁₀ = Q₁₆×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).2C10	320,940
(C₄×Q₈).₃C₁₀ = C₅×Q₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).3C10	320,942
(C₄×Q₈).₄C₁₀ = C₅×C₈⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).4C10	320,947
(C₄×Q₈).₅C₁₀ = C₅×C₄⋊₂Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).5C10	320,963
(C₄×Q₈).₆C₁₀ = C₅×Q₈⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).6C10	320,976
(C₄×Q₈).₇C₁₀ = C₅×C₄.Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).7C10	320,978
(C₄×Q₈).₈C₁₀ = C₅×Q₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).8C10	320,980
(C₄×Q₈).₉C₁₀ = C₅×Q₈⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).9C10	320,1559
(C₄×Q₈).₁₀C₁₀ = C₅×Q₈²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Q₈	320		(C4xQ8).10C10	320,1560
(C₄×Q₈).₁₁C₁₀ = Q₈×C₄₀	φ: trivial image	320		(C4xQ8).11C10	320,946

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁