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
dρLabelID
D4×C2×C20160D4xC2xC20320,1517

Semidirect products G=N:Q with N=D4×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C20)⋊1C2 = C4×D4⋊D5φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):1C2320,640
(D4×C20)⋊2C2 = C42.48D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):2C2320,641
(D4×C20)⋊3C2 = C207D8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):3C2320,642
(D4×C20)⋊4C2 = D4.1D20φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):4C2320,643
(D4×C20)⋊5C2 = C4×D42D5φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):5C2320,1208
(D4×C20)⋊6C2 = C42.102D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):6C2320,1210
(D4×C20)⋊7C2 = C42.104D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):7C2320,1212
(D4×C20)⋊8C2 = C4×D4×D5φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):8C2320,1216
(D4×C20)⋊9C2 = C4211D10φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):9C2320,1217
(D4×C20)⋊10C2 = C42.108D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):10C2320,1218
(D4×C20)⋊11C2 = C4212D10φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):11C2320,1219
(D4×C20)⋊12C2 = C42.228D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):12C2320,1220
(D4×C20)⋊13C2 = D4×D20φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):13C2320,1221
(D4×C20)⋊14C2 = D2023D4φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):14C2320,1222
(D4×C20)⋊15C2 = D2024D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):15C2320,1223
(D4×C20)⋊16C2 = Dic1023D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):16C2320,1224
(D4×C20)⋊17C2 = Dic1024D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):17C2320,1225
(D4×C20)⋊18C2 = D45D20φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):18C2320,1226
(D4×C20)⋊19C2 = D46D20φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):19C2320,1227
(D4×C20)⋊20C2 = C4216D10φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):20C2320,1228
(D4×C20)⋊21C2 = C42.229D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):21C2320,1229
(D4×C20)⋊22C2 = C42.113D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):22C2320,1230
(D4×C20)⋊23C2 = C42.114D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):23C2320,1231
(D4×C20)⋊24C2 = C4217D10φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):24C2320,1232
(D4×C20)⋊25C2 = C42.115D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):25C2320,1233
(D4×C20)⋊26C2 = C42.116D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):26C2320,1234
(D4×C20)⋊27C2 = C42.117D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):27C2320,1235
(D4×C20)⋊28C2 = C42.118D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):28C2320,1236
(D4×C20)⋊29C2 = C42.119D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):29C2320,1237
(D4×C20)⋊30C2 = D8×C20φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):30C2320,938
(D4×C20)⋊31C2 = C5×D8⋊C4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):31C2320,943
(D4×C20)⋊32C2 = C5×C4⋊D8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):32C2320,960
(D4×C20)⋊33C2 = C5×D4.2D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):33C2320,964
(D4×C20)⋊34C2 = C5×C22.11C24φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):34C2320,1520
(D4×C20)⋊35C2 = C5×C23.33C23φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):35C2320,1522
(D4×C20)⋊36C2 = C5×C22.19C24φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):36C2320,1527
(D4×C20)⋊37C2 = C5×C23.36C23φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):37C2320,1531
(D4×C20)⋊38C2 = C5×C22.26C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):38C2320,1534
(D4×C20)⋊39C2 = C5×C22.32C24φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):39C2320,1540
(D4×C20)⋊40C2 = C5×C22.33C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):40C2320,1541
(D4×C20)⋊41C2 = C5×C22.34C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):41C2320,1542
(D4×C20)⋊42C2 = C5×C22.36C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):42C2320,1544
(D4×C20)⋊43C2 = C5×D42φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):43C2320,1547
(D4×C20)⋊44C2 = C5×D45D4φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):44C2320,1548
(D4×C20)⋊45C2 = C5×D46D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):45C2320,1549
(D4×C20)⋊46C2 = C5×Q85D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):46C2320,1550
(D4×C20)⋊47C2 = C5×Q86D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):47C2320,1552
(D4×C20)⋊48C2 = C5×C22.45C24φ: C2/C1C2 ⊆ Out D4×C2080(D4xC20):48C2320,1553
(D4×C20)⋊49C2 = C5×C22.47C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):49C2320,1555
(D4×C20)⋊50C2 = C5×C22.49C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):50C2320,1557
(D4×C20)⋊51C2 = C5×C22.53C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20):51C2320,1561
(D4×C20)⋊52C2 = C4○D4×C20φ: trivial image160(D4xC20):52C2320,1519

Non-split extensions G=N.Q with N=D4×C20 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C20).1C2 = C20.57D8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).1C2320,92
(D4×C20).2C2 = C20.50D8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).2C2320,634
(D4×C20).3C2 = C20.38SD16φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).3C2320,635
(D4×C20).4C2 = D4.3Dic10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).4C2320,636
(D4×C20).5C2 = D4×C52C8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).5C2320,637
(D4×C20).6C2 = C42.47D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).6C2320,638
(D4×C20).7C2 = C207M4(2)φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).7C2320,639
(D4×C20).8C2 = C4×D4.D5φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).8C2320,644
(D4×C20).9C2 = C42.51D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).9C2320,645
(D4×C20).10C2 = D4.2D20φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).10C2320,646
(D4×C20).11C2 = D4×Dic10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).11C2320,1209
(D4×C20).12C2 = D45Dic10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).12C2320,1211
(D4×C20).13C2 = C42.105D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).13C2320,1213
(D4×C20).14C2 = C42.106D10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).14C2320,1214
(D4×C20).15C2 = D46Dic10φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).15C2320,1215
(D4×C20).16C2 = C5×D4⋊C8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).16C2320,130
(D4×C20).17C2 = C5×C89D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).17C2320,936
(D4×C20).18C2 = C5×C86D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).18C2320,937
(D4×C20).19C2 = SD16×C20φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).19C2320,939
(D4×C20).20C2 = C5×SD16⋊C4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).20C2320,941
(D4×C20).21C2 = C5×D4.D4φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).21C2320,962
(D4×C20).22C2 = C5×D4⋊Q8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).22C2320,975
(D4×C20).23C2 = C5×D42Q8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).23C2320,977
(D4×C20).24C2 = C5×D4.Q8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).24C2320,979
(D4×C20).25C2 = C5×D4×Q8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).25C2320,1551
(D4×C20).26C2 = C5×C22.46C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).26C2320,1554
(D4×C20).27C2 = C5×D43Q8φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).27C2320,1556
(D4×C20).28C2 = C5×C22.50C24φ: C2/C1C2 ⊆ Out D4×C20160(D4xC20).28C2320,1558
(D4×C20).29C2 = D4×C40φ: trivial image160(D4xC20).29C2320,935

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