Extensions 1→N→G→Q→1 with N=C₂×C₄○D₄ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₄○D₄ and Q=C₁₀

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₀		160		C4oD4xC2xC10	320,1631

Semidirect products G=N:Q with N=C₂×C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄)⋊₁C₁₀ = C₅×D₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):1C10	320,950
(C₂×C₄○D₄)⋊₂C₁₀ = C₅×C₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):2C10	320,1527
(C₂×C₄○D₄)⋊₃C₁₀ = C₅×C₂².₂₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):3C10	320,1534
(C₂×C₄○D₄)⋊₄C₁₀ = C₅×C₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):4C10	320,1537
(C₂×C₄○D₄)⋊₅C₁₀ = C₅×C₂².₃₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):5C10	320,1539
(C₂×C₄○D₄)⋊₆C₁₀ = C₅×D₄⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):6C10	320,1548
(C₂×C₄○D₄)⋊₇C₁₀ = C₅×D₄⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):7C10	320,1549
(C₂×C₄○D₄)⋊₈C₁₀ = C₅×Q₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):8C10	320,1550
(C₂×C₄○D₄)⋊₉C₁₀ = C₅×Q₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):9C10	320,1552
(C₂×C₄○D₄)⋊₁₀C₁₀ = C₁₀×C₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):10C10	320,1574
(C₂×C₄○D₄)⋊₁₁C₁₀ = C₁₀×C₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):11C10	320,1575
(C₂×C₄○D₄)⋊₁₂C₁₀ = C₅×D₈⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4):12C10	320,1577
(C₂×C₄○D₄)⋊₁₃C₁₀ = C₁₀×2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):13C10	320,1632
(C₂×C₄○D₄)⋊₁₄C₁₀ = C₁₀×2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):14C10	320,1633
(C₂×C₄○D₄)⋊₁₅C₁₀ = C₅×C₂.C₂⁵	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4):15C10	320,1634

Non-split extensions G=N.Q with N=C₂×C₄○D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄).₁C₁₀ = C₅×(C₂²×C₈)⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).1C10	320,909
(C₂×C₄○D₄).₂C₁₀ = C₅×C₂³.C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).2C10	320,911
(C₂×C₄○D₄).₃C₁₀ = C₅×M₄(2).₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).3C10	320,914
(C₂×C₄○D₄).₄C₁₀ = C₅×C₂³.₂₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).4C10	320,917
(C₂×C₄○D₄).₅C₁₀ = C₅×C₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).5C10	320,918
(C₂×C₄○D₄).₆C₁₀ = C₁₀×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4).6C10	320,921
(C₂×C₄○D₄).₇C₁₀ = C₅×C₄²⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).7C10	320,922
(C₂×C₄○D₄).₈C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).8C10	320,953
(C₂×C₄○D₄).₉C₁₀ = C₅×C₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).9C10	320,1522
(C₂×C₄○D₄).₁₀C₁₀ = C₅×C₂³.₃₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).10C10	320,1538
(C₂×C₄○D₄).₁₁C₁₀ = C₅×Q₈○M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).11C10	320,1570
(C₂×C₄○D₄).₁₂C₁₀ = C₁₀×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).12C10	320,1576
(C₂×C₄○D₄).₁₃C₁₀ = C₄○D₄×C₂₀	φ: trivial image	160		(C2xC4oD4).13C10	320,1519
(C₂×C₄○D₄).₁₄C₁₀ = C₁₀×C₈○D₄	φ: trivial image	160		(C2xC4oD4).14C10	320,1569

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁