Extensions 1→N→G→Q→1 with N=C₂xC₄oD₄ and Q=C₁₀

Direct product G=NxQ with N=C₂xC₄oD₄ and Q=C₁₀

		d	ρ	Label	ID
C₄oD₄xC₂xC₁₀		160		C4oD4xC2xC10	320,1631

Semidirect products G=N:Q with N=C₂xC₄oD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄oD₄):₁C₁₀ = C₅xD₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):1C10	320,950
(C₂xC₄oD₄):₂C₁₀ = C₅xC₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4):2C10	320,1527
(C₂xC₄oD₄):₃C₁₀ = C₅xC₂².₂₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):3C10	320,1534
(C₂xC₄oD₄):₄C₁₀ = C₅xC₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4):4C10	320,1537
(C₂xC₄oD₄):₅C₁₀ = C₅xC₂².₃₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):5C10	320,1539
(C₂xC₄oD₄):₆C₁₀ = C₅xD₄:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4):6C10	320,1548
(C₂xC₄oD₄):₇C₁₀ = C₅xD₄:₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):7C10	320,1549
(C₂xC₄oD₄):₈C₁₀ = C₅xQ₈:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):8C10	320,1550
(C₂xC₄oD₄):₉C₁₀ = C₅xQ₈:₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):9C10	320,1552
(C₂xC₄oD₄):₁₀C₁₀ = C₁₀xC₄oD₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):10C10	320,1574
(C₂xC₄oD₄):₁₁C₁₀ = C₁₀xC₈:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4):11C10	320,1575
(C₂xC₄oD₄):₁₂C₁₀ = C₅xD₈:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4):12C10	320,1577
(C₂xC₄oD₄):₁₃C₁₀ = C₁₀x2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4):13C10	320,1632
(C₂xC₄oD₄):₁₄C₁₀ = C₁₀x2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4):14C10	320,1633
(C₂xC₄oD₄):₁₅C₁₀ = C₅xC₂.C₂⁵	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4):15C10	320,1634

Non-split extensions G=N.Q with N=C₂xC₄oD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄oD₄).₁C₁₀ = C₅x(C₂²xC₈):C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).1C10	320,909
(C₂xC₄oD₄).₂C₁₀ = C₅xC₂³.C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4).2C10	320,911
(C₂xC₄oD₄).₃C₁₀ = C₅xM₄(2).₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4).3C10	320,914
(C₂xC₄oD₄).₄C₁₀ = C₅xC₂³.₂₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).4C10	320,917
(C₂xC₄oD₄).₅C₁₀ = C₅xC₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).5C10	320,918
(C₂xC₄oD₄).₆C₁₀ = C₁₀xC₄wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80		(C2xC4oD4).6C10	320,921
(C₂xC₄oD₄).₇C₁₀ = C₅xC₄²:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4).7C10	320,922
(C₂xC₄oD₄).₈C₁₀ = C₅xD₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).8C10	320,953
(C₂xC₄oD₄).₉C₁₀ = C₅xC₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).9C10	320,1522
(C₂xC₄oD₄).₁₀C₁₀ = C₅xC₂³.₃₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).10C10	320,1538
(C₂xC₄oD₄).₁₁C₁₀ = C₅xQ₈oM₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	80	4	(C2xC4oD4).11C10	320,1570
(C₂xC₄oD₄).₁₂C₁₀ = C₁₀xC₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xC₄oD₄	160		(C2xC4oD4).12C10	320,1576
(C₂xC₄oD₄).₁₃C₁₀ = C₄oD₄xC₂₀	φ: trivial image	160		(C2xC4oD4).13C10	320,1519
(C₂xC₄oD₄).₁₄C₁₀ = C₁₀xC₈oD₄	φ: trivial image	160		(C2xC4oD4).14C10	320,1569

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