Extensions 1→N→G→Q→1 with N=Q₈×Dic₅ and Q=C₂

Direct product G=N×Q with N=Q₈×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈×Dic₅		320		C2xQ8xDic5	320,1483

Semidirect products G=N:Q with N=Q₈×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(Q₈×Dic₅)⋊₁C₂ = Dic₅⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):1C2	320,415
(Q₈×Dic₅)⋊₂C₂ = Q₈⋊D₅⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):2C2	320,444
(Q₈×Dic₅)⋊₃C₂ = SD₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):3C2	320,788
(Q₈×Dic₅)⋊₄C₂ = Dic₅⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):4C2	320,790
(Q₈×Dic₅)⋊₅C₂ = SD₁₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):5C2	320,791
(Q₈×Dic₅)⋊₆C₂ = (C₅×Q₈).D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):6C2	320,793
(Q₈×Dic₅)⋊₇C₂ = (C₂×Q₁₆)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):7C2	320,812
(Q₈×Dic₅)⋊₈C₂ = C₄².₁₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):8C2	320,1244
(Q₈×Dic₅)⋊₉C₂ = C₄².₁₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):9C2	320,1246
(Q₈×Dic₅)⋊₁₀C₂ = (Q₈×Dic₅)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):10C2	320,1294
(Q₈×Dic₅)⋊₁₁C₂ = C₂²⋊Q₈⋊₂₅D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):11C2	320,1296
(Q₈×Dic₅)⋊₁₂C₂ = C₁₀.₁₅2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):12C2	320,1297
(Q₈×Dic₅)⋊₁₃C₂ = C₁₀.₁₁₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):13C2	320,1307
(Q₈×Dic₅)⋊₁₄C₂ = C₁₀.₂₁2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):14C2	320,1311
(Q₈×Dic₅)⋊₁₅C₂ = C₁₀.₂₃2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):15C2	320,1313
(Q₈×Dic₅)⋊₁₆C₂ = C₁₀.₇₇2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):16C2	320,1314
(Q₈×Dic₅)⋊₁₇C₂ = C₁₀.₂₄2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):17C2	320,1315
(Q₈×Dic₅)⋊₁₈C₂ = C₄².₁₃₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):18C2	320,1343
(Q₈×Dic₅)⋊₁₉C₂ = C₄².₂₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):19C2	320,1352
(Q₈×Dic₅)⋊₂₀C₂ = C₄².₁₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):20C2	320,1353
(Q₈×Dic₅)⋊₂₁C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):21C2	320,1354
(Q₈×Dic₅)⋊₂₂C₂ = C₄².₂₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):22C2	320,1400
(Q₈×Dic₅)⋊₂₃C₂ = C₄².₁₇₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):23C2	320,1403
(Q₈×Dic₅)⋊₂₄C₂ = C₄².₁₇₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):24C2	320,1404
(Q₈×Dic₅)⋊₂₅C₂ = C₁₀.₄₂2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):25C2	320,1484
(Q₈×Dic₅)⋊₂₆C₂ = Q₈×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):26C2	320,1487
(Q₈×Dic₅)⋊₂₇C₂ = C₁₀.₄₅2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):27C2	320,1489
(Q₈×Dic₅)⋊₂₈C₂ = C₁₀.₁₄₄2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):28C2	320,1499
(Q₈×Dic₅)⋊₂₉C₂ = C₁₀.₁₀₇2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):29C2	320,1503
(Q₈×Dic₅)⋊₃₀C₂ = C₁₀.₁₄₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	160	(Q8xDic5):30C2	320,1506
(Q₈×Dic₅)⋊₃₁C₂ = C₄×Q₈×D₅	φ: trivial image	160	(Q8xDic5):31C2	320,1243
(Q₈×Dic₅)⋊₃₂C₂ = C₄×Q₈⋊₂D₅	φ: trivial image	160	(Q8xDic5):32C2	320,1245
(Q₈×Dic₅)⋊₃₃C₂ = C₄○D₄×Dic₅	φ: trivial image	160	(Q8xDic5):33C2	320,1498

Non-split extensions G=N.Q with N=Q₈×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(Q₈×Dic₅).₁C₂ = C₅⋊Q₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).1C2	320,416
(Q₈×Dic₅).₂C₂ = Dic₅⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).2C2	320,417
(Q₈×Dic₅).₃C₂ = Q₈⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).3C2	320,418
(Q₈×Dic₅).₄C₂ = Dic₅.₉Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).4C2	320,421
(Q₈×Dic₅).₅C₂ = Q₈.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).5C2	320,423
(Q₈×Dic₅).₆C₂ = Q₈.₂Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).6C2	320,426
(Q₈×Dic₅).₇C₂ = Dic₅⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).7C2	320,809
(Q₈×Dic₅).₈C₂ = Q₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).8C2	320,810
(Q₈×Dic₅).₉C₂ = Q₁₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).9C2	320,811
(Q₈×Dic₅).₁₀C₂ = Q₈×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).10C2	320,1238
(Q₈×Dic₅).₁₁C₂ = Q₈⋊₅Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).11C2	320,1241
(Q₈×Dic₅).₁₂C₂ = Q₈⋊₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).12C2	320,1242
(Q₈×Dic₅).₁₃C₂ = Dic₁₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).13C2	320,1393
(Q₈×Dic₅).₁₄C₂ = Dic₅.₁₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).14C2	320,268
(Q₈×Dic₅).₁₅C₂ = Q₈×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).15C2	320,1124
(Q₈×Dic₅).₁₆C₂ = C₂₀.₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out Q₈×Dic₅	320	(Q8xDic5).16C2	320,1126

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Extensions 1→N→G→Q→1 with N=Q8×Dic5 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈×Dic₅ and Q=C₂