Extensions 1→N→G→Q→1 with N=C₈×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₈×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×Dic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=C₈×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×Dic₅)⋊₁C₂ = D₄₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	80	4	(C8xDic5):1C2	320,522
(C₈×Dic₅)⋊₂C₂ = D₈⋊₅Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	80	4	(C8xDic5):2C2	320,823
(C₈×Dic₅)⋊₃C₂ = D₄₀⋊₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):3C2	320,499
(C₈×Dic₅)⋊₄C₂ = D₈×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):4C2	320,776
(C₈×Dic₅)⋊₅C₂ = C₄₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):5C2	320,778
(C₈×Dic₅)⋊₆C₂ = C₄₀.₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):6C2	320,782
(C₈×Dic₅)⋊₇C₂ = C₄₀.₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):7C2	320,818
(C₈×Dic₅)⋊₈C₂ = Dic₅⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):8C2	320,479
(C₈×Dic₅)⋊₉C₂ = SD₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):9C2	320,788
(C₈×Dic₅)⋊₁₀C₂ = C₄₀.₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):10C2	320,795
(C₈×Dic₅)⋊₁₁C₂ = C₄₀⋊₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):11C2	320,802
(C₈×Dic₅)⋊₁₂C₂ = D₁₀.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):12C2	320,316
(C₈×Dic₅)⋊₁₃C₂ = Dic₅.₁₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):13C2	320,345
(C₈×Dic₅)⋊₁₄C₂ = C₄₀⋊₈C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):14C2	320,347
(C₈×Dic₅)⋊₁₅C₂ = C₅⋊₅(C₈×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):15C2	320,352
(C₈×Dic₅)⋊₁₆C₂ = Dic₅⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):16C2	320,356
(C₈×Dic₅)⋊₁₇C₂ = Dic₅⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):17C2	320,383
(C₈×Dic₅)⋊₁₈C₂ = Dic₅⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):18C2	320,385
(C₈×Dic₅)⋊₁₉C₂ = Dic₅.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):19C2	320,387
(C₈×Dic₅)⋊₂₀C₂ = (C₈×Dic₅)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):20C2	320,395
(C₈×Dic₅)⋊₂₁C₂ = Dic₅⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):21C2	320,415
(C₈×Dic₅)⋊₂₂C₂ = Q₈⋊Dic₅⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):22C2	320,427
(C₈×Dic₅)⋊₂₃C₂ = C₄².₂₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):23C2	320,460
(C₈×Dic₅)⋊₂₄C₂ = C₄².₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):24C2	320,467
(C₈×Dic₅)⋊₂₅C₂ = C₂₀.₄₂C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):25C2	320,728
(C₈×Dic₅)⋊₂₆C₂ = C₈×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):26C2	320,736
(C₈×Dic₅)⋊₂₇C₂ = D₁₀.₆C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):27C2	320,334
(C₈×Dic₅)⋊₂₈C₂ = D₁₀.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):28C2	320,335
(C₈×Dic₅)⋊₂₉C₂ = M₄(2)×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):29C2	320,744
(C₈×Dic₅)⋊₃₀C₂ = C₂₀.₃₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):30C2	320,749
(C₈×Dic₅)⋊₃₁C₂ = C₄₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	160		(C8xDic5):31C2	320,755
(C₈×Dic₅)⋊₃₂C₂ = C₄₀.₉₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	80	4	(C8xDic5):32C2	320,771
(C₈×Dic₅)⋊₃₃C₂ = D₅×C₄×C₈	φ: trivial image	160		(C8xDic5):33C2	320,311

Non-split extensions G=N.Q with N=C₈×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×Dic₅).₁C₂ = Dic₅⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).1C2	320,500
(C₈×Dic₅).₂C₂ = C₄₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).2C2	320,501
(C₈×Dic₅).₃C₂ = C₈.₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).3C2	320,505
(C₈×Dic₅).₄C₂ = C₄₀.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).4C2	320,808
(C₈×Dic₅).₅C₂ = Q₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).5C2	320,810
(C₈×Dic₅).₆C₂ = C₄₀⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).6C2	320,482
(C₈×Dic₅).₇C₂ = C₈.₈Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).7C2	320,485
(C₈×Dic₅).₈C₂ = C₄₀.₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).8C2	320,59
(C₈×Dic₅).₉C₂ = C₈₀⋊₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).9C2	320,60
(C₈×Dic₅).₁₀C₂ = C₂₀.₃₁M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).10C2	320,218
(C₈×Dic₅).₁₁C₂ = C₂₀.₂₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).11C2	320,221
(C₈×Dic₅).₁₂C₂ = Dic₅.₁₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).12C2	320,222
(C₈×Dic₅).₁₃C₂ = C₁₀.M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).13C2	320,226
(C₈×Dic₅).₁₄C₂ = C₈×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).14C2	320,305
(C₈×Dic₅).₁₅C₂ = Dic₅⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).15C2	320,417
(C₈×Dic₅).₁₆C₂ = Dic₅.₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).16C2	320,419
(C₈×Dic₅).₁₇C₂ = Dic₅.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).17C2	320,455
(C₈×Dic₅).₁₈C₂ = Dic₁₀⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).18C2	320,457
(C₈×Dic₅).₁₉C₂ = C₄₀⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).19C2	320,220
(C₈×Dic₅).₂₀C₂ = C₄₀.₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	80	4	(C8xDic5).20C2	320,227
(C₈×Dic₅).₂₁C₂ = C₄₀⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).21C2	320,219
(C₈×Dic₅).₂₂C₂ = C₄₀.₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	80	4	(C8xDic5).22C2	320,69
(C₈×Dic₅).₂₃C₂ = C₈×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).23C2	320,216
(C₈×Dic₅).₂₄C₂ = C₄₀⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).24C2	320,217
(C₈×Dic₅).₂₅C₂ = Dic₅⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).25C2	320,223
(C₈×Dic₅).₂₆C₂ = C₄₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).26C2	320,224
(C₈×Dic₅).₂₇C₂ = C₄₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Dic₅	320		(C8xDic5).27C2	320,328
(C₈×Dic₅).₂₈C₂ = C₁₆×Dic₅	φ: trivial image	320		(C8xDic5).28C2	320,58

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8×Dic5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₈×Dic₅ and Q=C₂