Extensions 1→N→G→Q→1 with N=C20.17D4 and Q=C2

Direct product G=N×Q with N=C20.17D4 and Q=C2
dρLabelID
C2×C20.17D4160C2xC20.17D4320,1469

Semidirect products G=N:Q with N=C20.17D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.17D41C2 = D20.1D4φ: C2/C1C2 ⊆ Out C20.17D4808-C20.17D4:1C2320,373
C20.17D42C2 = D20.D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:2C2320,414
C20.17D43C2 = (C2×D8).D5φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:3C2320,780
C20.17D44C2 = C4011D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:4C2320,781
C20.17D45C2 = C40.22D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:5C2320,782
C20.17D46C2 = C40.43D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:6C2320,795
C20.17D47C2 = D20.38D4φ: C2/C1C2 ⊆ Out C20.17D4808-C20.17D4:7C2320,828
C20.17D48C2 = 2+ 1+4.D5φ: C2/C1C2 ⊆ Out C20.17D4808-C20.17D4:8C2320,869
C20.17D49C2 = C42.114D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:9C2320,1231
C20.17D410C2 = C42.115D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:10C2320,1233
C20.17D411C2 = C24.32D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:11C2320,1259
C20.17D412C2 = C24.35D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:12C2320,1265
C20.17D413C2 = C245D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:13C2320,1266
C20.17D414C2 = Dic1019D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:14C2320,1270
C20.17D415C2 = C4⋊C4.178D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:15C2320,1272
C20.17D416C2 = C10.362+ 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:16C2320,1275
C20.17D417C2 = D2020D4φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:17C2320,1284
C20.17D418C2 = C10.422+ 1+4φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:18C2320,1285
C20.17D419C2 = C10.452+ 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:19C2320,1288
C20.17D420C2 = C10.742- 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:20C2320,1293
C20.17D421C2 = C10.622+ 1+4φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:21C2320,1331
C20.17D422C2 = C10.842- 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:22C2320,1334
C20.17D423C2 = D5×C4.4D4φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:23C2320,1345
C20.17D424C2 = C42.141D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:24C2320,1347
C20.17D425C2 = C42.166D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:25C2320,1385
C20.17D426C2 = C4226D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:26C2320,1387
C20.17D427C2 = C42.238D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:27C2320,1388
C20.17D428C2 = C24.41D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:28C2320,1477
C20.17D429C2 = C24.42D10φ: C2/C1C2 ⊆ Out C20.17D480C20.17D4:29C2320,1478
C20.17D430C2 = C10.1052- 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:30C2320,1497
C20.17D431C2 = C10.1072- 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4:31C2320,1503
C20.17D432C2 = C42.229D10φ: trivial image160C20.17D4:32C2320,1229
C20.17D433C2 = (C2×C20)⋊17D4φ: trivial image160C20.17D4:33C2320,1504

Non-split extensions G=N.Q with N=C20.17D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.17D4.1C2 = C23.D20φ: C2/C1C2 ⊆ Out C20.17D4808-C20.17D4.1C2320,31
C20.17D4.2C2 = (C2×D4).F5φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.2C2320,259
C20.17D4.3C2 = (D4×C10).C4φ: C2/C1C2 ⊆ Out C20.17D4808-C20.17D4.3C2320,261
C20.17D4.4C2 = C20⋊Q8⋊C2φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.4C2320,392
C20.17D4.5C2 = Dic10.D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.5C2320,394
C20.17D4.6C2 = (C8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.6C2320,395
C20.17D4.7C2 = (C5×Q8).D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.7C2320,793
C20.17D4.8C2 = C40.31D4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.8C2320,794
C20.17D4.9C2 = C42.106D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.9C2320,1214
C20.17D4.10C2 = C10.812- 1+4φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.10C2320,1323
C20.17D4.11C2 = C42.139D10φ: C2/C1C2 ⊆ Out C20.17D4160C20.17D4.11C2320,1343

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