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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₄○D₄)⋊₁C₂ = (C₅×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):1C2	320,865
(C₁₀×C₄○D₄)⋊₂C₂ = C₂×D₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):2C2	320,1492
(C₁₀×C₄○D₄)⋊₃C₂ = C₂×D₄.₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):3C2	320,1493
(C₁₀×C₄○D₄)⋊₄C₂ = C₂₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4):4C2	320,1494
(C₁₀×C₄○D₄)⋊₅C₂ = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):5C2	320,1496
(C₁₀×C₄○D₄)⋊₆C₂ = (C₂×C₂₀)⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):6C2	320,1500
(C₁₀×C₄○D₄)⋊₇C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):7C2	320,1501
(C₁₀×C₄○D₄)⋊₈C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):8C2	320,1502
(C₁₀×C₄○D₄)⋊₉C₂ = C₁₀.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):9C2	320,1503
(C₁₀×C₄○D₄)⋊₁₀C₂ = (C₂×C₂₀)⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):10C2	320,1504
(C₁₀×C₄○D₄)⋊₁₁C₂ = C₁₀.₁₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):11C2	320,1505
(C₁₀×C₄○D₄)⋊₁₂C₂ = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):12C2	320,1506
(C₁₀×C₄○D₄)⋊₁₃C₂ = C₂×D₅×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):13C2	320,1618
(C₁₀×C₄○D₄)⋊₁₄C₂ = C₂×D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):14C2	320,1619
(C₁₀×C₄○D₄)⋊₁₅C₂ = C₂×D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):15C2	320,1620
(C₁₀×C₄○D₄)⋊₁₆C₂ = C₁₀.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4):16C2	320,1621
(C₁₀×C₄○D₄)⋊₁₇C₂ = C₅×D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):17C2	320,950
(C₁₀×C₄○D₄)⋊₁₈C₂ = C₅×C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):18C2	320,1527
(C₁₀×C₄○D₄)⋊₁₉C₂ = C₅×C₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):19C2	320,1534
(C₁₀×C₄○D₄)⋊₂₀C₂ = C₅×C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):20C2	320,1537
(C₁₀×C₄○D₄)⋊₂₁C₂ = C₅×C₂².₃₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):21C2	320,1539
(C₁₀×C₄○D₄)⋊₂₂C₂ = C₅×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):22C2	320,1548
(C₁₀×C₄○D₄)⋊₂₃C₂ = C₅×D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):23C2	320,1549
(C₁₀×C₄○D₄)⋊₂₄C₂ = C₅×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):24C2	320,1550
(C₁₀×C₄○D₄)⋊₂₅C₂ = C₅×Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):25C2	320,1552
(C₁₀×C₄○D₄)⋊₂₆C₂ = C₁₀×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):26C2	320,1574
(C₁₀×C₄○D₄)⋊₂₇C₂ = C₁₀×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):27C2	320,1575
(C₁₀×C₄○D₄)⋊₂₈C₂ = C₅×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4):28C2	320,1577
(C₁₀×C₄○D₄)⋊₂₉C₂ = C₁₀×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4):29C2	320,1632
(C₁₀×C₄○D₄)⋊₃₀C₂ = C₁₀×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4):30C2	320,1633
(C₁₀×C₄○D₄)⋊₃₁C₂ = C₅×C₂.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4):31C2	320,1634

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₄○D₄).₁C₂ = C₄○D₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).1C2	320,859
(C₁₀×C₄○D₄).₂C₂ = C₂₀.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).2C2	320,860
(C₁₀×C₄○D₄).₃C₂ = (D₄×C₁₀).₂₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).3C2	320,861
(C₁₀×C₄○D₄).₄C₂ = C₂×D₄⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4).4C2	320,862
(C₁₀×C₄○D₄).₅C₂ = (D₄×C₁₀)⋊₂₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).5C2	320,863
(C₁₀×C₄○D₄).₆C₂ = (D₄×C₁₀).₂₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).6C2	320,864
(C₁₀×C₄○D₄).₇C₂ = (C₅×D₄).₃₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).7C2	320,866
(C₁₀×C₄○D₄).₈C₂ = (D₄×C₁₀)⋊₂₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).8C2	320,867
(C₁₀×C₄○D₄).₉C₂ = C₂×D₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).9C2	320,1490
(C₁₀×C₄○D₄).₁₀C₂ = C₂₀.₇₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).10C2	320,1491
(C₁₀×C₄○D₄).₁₁C₂ = C₂×D₄.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).11C2	320,1495
(C₁₀×C₄○D₄).₁₂C₂ = C₁₀.₁₀₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).12C2	320,1497
(C₁₀×C₄○D₄).₁₃C₂ = C₄○D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).13C2	320,1498
(C₁₀×C₄○D₄).₁₄C₂ = C₁₀.₁₀₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).14C2	320,1499
(C₁₀×C₄○D₄).₁₅C₂ = C₅×(C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).15C2	320,909
(C₁₀×C₄○D₄).₁₆C₂ = C₅×C₂³.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).16C2	320,911
(C₁₀×C₄○D₄).₁₇C₂ = C₅×M₄(2).₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).17C2	320,914
(C₁₀×C₄○D₄).₁₈C₂ = C₅×C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).18C2	320,917
(C₁₀×C₄○D₄).₁₉C₂ = C₅×C₂³.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).19C2	320,918
(C₁₀×C₄○D₄).₂₀C₂ = C₁₀×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80		(C10xC4oD4).20C2	320,921
(C₁₀×C₄○D₄).₂₁C₂ = C₅×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).21C2	320,922
(C₁₀×C₄○D₄).₂₂C₂ = C₅×D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).22C2	320,953
(C₁₀×C₄○D₄).₂₃C₂ = C₅×C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).23C2	320,1522
(C₁₀×C₄○D₄).₂₄C₂ = C₅×C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).24C2	320,1538
(C₁₀×C₄○D₄).₂₅C₂ = C₅×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	80	4	(C10xC4oD4).25C2	320,1570
(C₁₀×C₄○D₄).₂₆C₂ = C₁₀×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₄○D₄	160		(C10xC4oD4).26C2	320,1576
(C₁₀×C₄○D₄).₂₇C₂ = C₄○D₄×C₂₀	φ: trivial image	160		(C10xC4oD4).27C2	320,1519
(C₁₀×C₄○D₄).₂₈C₂ = C₁₀×C₈○D₄	φ: trivial image	160		(C10xC4oD4).28C2	320,1569

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

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