Extensions 1→N→G→Q→1 with N=D₄×C₂₀ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₀ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₂₀		160		D4xC2xC20	320,1517

Semidirect products G=N:Q with N=D₄×C₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂₀)⋊₁C₂ = C₄×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):1C2	320,640
(D₄×C₂₀)⋊₂C₂ = C₄².₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):2C2	320,641
(D₄×C₂₀)⋊₃C₂ = C₂₀⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):3C2	320,642
(D₄×C₂₀)⋊₄C₂ = D₄.₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):4C2	320,643
(D₄×C₂₀)⋊₅C₂ = C₄×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):5C2	320,1208
(D₄×C₂₀)⋊₆C₂ = C₄².₁₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):6C2	320,1210
(D₄×C₂₀)⋊₇C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):7C2	320,1212
(D₄×C₂₀)⋊₈C₂ = C₄×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):8C2	320,1216
(D₄×C₂₀)⋊₉C₂ = C₄²⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):9C2	320,1217
(D₄×C₂₀)⋊₁₀C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):10C2	320,1218
(D₄×C₂₀)⋊₁₁C₂ = C₄²⋊₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):11C2	320,1219
(D₄×C₂₀)⋊₁₂C₂ = C₄².₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):12C2	320,1220
(D₄×C₂₀)⋊₁₃C₂ = D₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):13C2	320,1221
(D₄×C₂₀)⋊₁₄C₂ = D₂₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):14C2	320,1222
(D₄×C₂₀)⋊₁₅C₂ = D₂₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):15C2	320,1223
(D₄×C₂₀)⋊₁₆C₂ = Dic₁₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):16C2	320,1224
(D₄×C₂₀)⋊₁₇C₂ = Dic₁₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):17C2	320,1225
(D₄×C₂₀)⋊₁₈C₂ = D₄⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):18C2	320,1226
(D₄×C₂₀)⋊₁₉C₂ = D₄⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):19C2	320,1227
(D₄×C₂₀)⋊₂₀C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):20C2	320,1228
(D₄×C₂₀)⋊₂₁C₂ = C₄².₂₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):21C2	320,1229
(D₄×C₂₀)⋊₂₂C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):22C2	320,1230
(D₄×C₂₀)⋊₂₃C₂ = C₄².₁₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):23C2	320,1231
(D₄×C₂₀)⋊₂₄C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):24C2	320,1232
(D₄×C₂₀)⋊₂₅C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):25C2	320,1233
(D₄×C₂₀)⋊₂₆C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):26C2	320,1234
(D₄×C₂₀)⋊₂₇C₂ = C₄².₁₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):27C2	320,1235
(D₄×C₂₀)⋊₂₈C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):28C2	320,1236
(D₄×C₂₀)⋊₂₉C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):29C2	320,1237
(D₄×C₂₀)⋊₃₀C₂ = D₈×C₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):30C2	320,938
(D₄×C₂₀)⋊₃₁C₂ = C₅×D₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):31C2	320,943
(D₄×C₂₀)⋊₃₂C₂ = C₅×C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):32C2	320,960
(D₄×C₂₀)⋊₃₃C₂ = C₅×D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):33C2	320,964
(D₄×C₂₀)⋊₃₄C₂ = C₅×C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):34C2	320,1520
(D₄×C₂₀)⋊₃₅C₂ = C₅×C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):35C2	320,1522
(D₄×C₂₀)⋊₃₆C₂ = C₅×C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):36C2	320,1527
(D₄×C₂₀)⋊₃₇C₂ = C₅×C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):37C2	320,1531
(D₄×C₂₀)⋊₃₈C₂ = C₅×C₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):38C2	320,1534
(D₄×C₂₀)⋊₃₉C₂ = C₅×C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):39C2	320,1540
(D₄×C₂₀)⋊₄₀C₂ = C₅×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):40C2	320,1541
(D₄×C₂₀)⋊₄₁C₂ = C₅×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):41C2	320,1542
(D₄×C₂₀)⋊₄₂C₂ = C₅×C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):42C2	320,1544
(D₄×C₂₀)⋊₄₃C₂ = C₅×D₄²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):43C2	320,1547
(D₄×C₂₀)⋊₄₄C₂ = C₅×D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):44C2	320,1548
(D₄×C₂₀)⋊₄₅C₂ = C₅×D₄⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):45C2	320,1549
(D₄×C₂₀)⋊₄₆C₂ = C₅×Q₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):46C2	320,1550
(D₄×C₂₀)⋊₄₇C₂ = C₅×Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):47C2	320,1552
(D₄×C₂₀)⋊₄₈C₂ = C₅×C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	80	(D4xC20):48C2	320,1553
(D₄×C₂₀)⋊₄₉C₂ = C₅×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):49C2	320,1555
(D₄×C₂₀)⋊₅₀C₂ = C₅×C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):50C2	320,1557
(D₄×C₂₀)⋊₅₁C₂ = C₅×C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20):51C2	320,1561
(D₄×C₂₀)⋊₅₂C₂ = C₄○D₄×C₂₀	φ: trivial image	160	(D4xC20):52C2	320,1519

Non-split extensions G=N.Q with N=D₄×C₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄×C₂₀).₁C₂ = C₂₀.₅₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).1C2	320,92
(D₄×C₂₀).₂C₂ = C₂₀.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).2C2	320,634
(D₄×C₂₀).₃C₂ = C₂₀.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).3C2	320,635
(D₄×C₂₀).₄C₂ = D₄.₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).4C2	320,636
(D₄×C₂₀).₅C₂ = D₄×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).5C2	320,637
(D₄×C₂₀).₆C₂ = C₄².₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).6C2	320,638
(D₄×C₂₀).₇C₂ = C₂₀⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).7C2	320,639
(D₄×C₂₀).₈C₂ = C₄×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).8C2	320,644
(D₄×C₂₀).₉C₂ = C₄².₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).9C2	320,645
(D₄×C₂₀).₁₀C₂ = D₄.₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).10C2	320,646
(D₄×C₂₀).₁₁C₂ = D₄×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).11C2	320,1209
(D₄×C₂₀).₁₂C₂ = D₄⋊₅Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).12C2	320,1211
(D₄×C₂₀).₁₃C₂ = C₄².₁₀₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).13C2	320,1213
(D₄×C₂₀).₁₄C₂ = C₄².₁₀₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).14C2	320,1214
(D₄×C₂₀).₁₅C₂ = D₄⋊₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).15C2	320,1215
(D₄×C₂₀).₁₆C₂ = C₅×D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).16C2	320,130
(D₄×C₂₀).₁₇C₂ = C₅×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).17C2	320,936
(D₄×C₂₀).₁₈C₂ = C₅×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).18C2	320,937
(D₄×C₂₀).₁₉C₂ = SD₁₆×C₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).19C2	320,939
(D₄×C₂₀).₂₀C₂ = C₅×SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).20C2	320,941
(D₄×C₂₀).₂₁C₂ = C₅×D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).21C2	320,962
(D₄×C₂₀).₂₂C₂ = C₅×D₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).22C2	320,975
(D₄×C₂₀).₂₃C₂ = C₅×D₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).23C2	320,977
(D₄×C₂₀).₂₄C₂ = C₅×D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).24C2	320,979
(D₄×C₂₀).₂₅C₂ = C₅×D₄×Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).25C2	320,1551
(D₄×C₂₀).₂₆C₂ = C₅×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).26C2	320,1554
(D₄×C₂₀).₂₇C₂ = C₅×D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).27C2	320,1556
(D₄×C₂₀).₂₈C₂ = C₅×C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₀	160	(D4xC20).28C2	320,1558
(D₄×C₂₀).₂₉C₂ = D₄×C₄₀	φ: trivial image	160	(D4xC20).29C2	320,935

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Extensions 1→N→G→Q→1 with N=D4×C20 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄×C₂₀ and Q=C₂