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Extensions 1→N→G→Q→1 with N=C2×D4⋊2D5 and Q=C2

Direct product G=N×Q with N=C2×D4⋊2D5 and Q=C2
dρLabelID
C22×D4⋊2D5160C2^2xD4:2D5320,1613

Semidirect products G=N:Q with N=C2×D4⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4⋊2D5)⋊1C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):1C2320,408
(C2×D4⋊2D5)⋊2C2 = Dic10⋊D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):2C2320,785
(C2×D4⋊2D5)⋊3C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):3C2320,1226
(C2×D4⋊2D5)⋊4C2 = D4⋊6D20φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):4C2320,1227
(C2×D4⋊2D5)⋊5C2 = C24.56D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):5C2320,1258
(C2×D4⋊2D5)⋊6C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):6C2320,1263
(C2×D4⋊2D5)⋊7C2 = C24.34D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):7C2320,1264
(C2×D4⋊2D5)⋊8C2 = C20⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):8C2320,1268
(C2×D4⋊2D5)⋊9C2 = C10.682- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):9C2320,1269
(C2×D4⋊2D5)⋊10C2 = Dic10⋊19D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):10C2320,1270
(C2×D4⋊2D5)⋊11C2 = Dic10⋊20D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):11C2320,1271
(C2×D4⋊2D5)⋊12C2 = C4⋊C4⋊21D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):12C2320,1278
(C2×D4⋊2D5)⋊13C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):13C2320,1280
(C2×D4⋊2D5)⋊14C2 = C10.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):14C2320,1282
(C2×D4⋊2D5)⋊15C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):15C2320,1283
(C2×D4⋊2D5)⋊16C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):16C2320,1327
(C2×D4⋊2D5)⋊17C2 = C4⋊C4⋊28D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):17C2320,1328
(C2×D4⋊2D5)⋊18C2 = C42.233D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):18C2320,1340
(C2×D4⋊2D5)⋊19C2 = Dic10⋊10D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):19C2320,1349
(C2×D4⋊2D5)⋊20C2 = C42⋊26D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):20C2320,1387
(C2×D4⋊2D5)⋊21C2 = C42.238D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):21C2320,1388
(C2×D4⋊2D5)⋊22C2 = Dic10⋊11D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):22C2320,1390
(C2×D4⋊2D5)⋊23C2 = C2×D8⋊D5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):23C2320,1427
(C2×D4⋊2D5)⋊24C2 = C2×D8⋊3D5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):24C2320,1428
(C2×D4⋊2D5)⋊25C2 = C2×SD16⋊3D5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):25C2320,1433
(C2×D4⋊2D5)⋊26C2 = SD16⋊D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5):26C2320,1445
(C2×D4⋊2D5)⋊27C2 = C24.42D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):27C2320,1478
(C2×D4⋊2D5)⋊28C2 = C10.1042- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):28C2320,1496
(C2×D4⋊2D5)⋊29C2 = C2×D4⋊6D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5):29C2320,1614
(C2×D4⋊2D5)⋊30C2 = C2×D4.10D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5):30C2320,1620
(C2×D4⋊2D5)⋊31C2 = D20.37C23φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5):31C2320,1623
(C2×D4⋊2D5)⋊32C2 = C2×D5×C4○D4φ: trivial image80(C2xD4:2D5):32C2320,1618

Non-split extensions G=N.Q with N=C2×D4⋊2D5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D4⋊2D5).1C2 = C23⋊C4⋊5D5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).1C2320,367
(C2×D4⋊2D5).2C2 = M4(2).19D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).2C2320,372
(C2×D4⋊2D5).3C2 = D4⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).3C2320,398
(C2×D4⋊2D5).4C2 = D4⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).4C2320,399
(C2×D4⋊2D5).5C2 = D4.D20φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).5C2320,410
(C2×D4⋊2D5).6C2 = Dic10.16D4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).6C2320,800
(C2×D4⋊2D5).7C2 = (C2×D4).7F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).7C2320,1113
(C2×D4⋊2D5).8C2 = (C2×D4).9F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).8C2320,1115
(C2×D4⋊2D5).9C2 = C42.108D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).9C2320,1218
(C2×D4⋊2D5).10C2 = C10.792- 1+4φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).10C2320,1320
(C2×D4⋊2D5).11C2 = C42.141D10φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).11C2320,1347
(C2×D4⋊2D5).12C2 = C2×SD16⋊D5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).12C2320,1432
(C2×D4⋊2D5).13C2 = C2×D4⋊F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D580(C2xD4:2D5).13C2320,1106
(C2×D4⋊2D5).14C2 = (C2×D4)⋊6F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).14C2320,1107
(C2×D4⋊2D5).15C2 = (C2×D4)⋊8F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).15C2320,1109
(C2×D4⋊2D5).16C2 = (C2×D4).8F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).16C2320,1114
(C2×D4⋊2D5).17C2 = C2×D4.F5φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5160(C2xD4:2D5).17C2320,1593
(C2×D4⋊2D5).18C2 = Dic5.C24φ: C2/C1 → C2 ⊆ Out C2×D4⋊2D5808-(C2xD4:2D5).18C2320,1594
(C2×D4⋊2D5).19C2 = C4×D4⋊2D5φ: trivial image160(C2xD4:2D5).19C2320,1208

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