# Extensions 1→N→G→Q→1 with N=D10.13D4 and Q=C2

Direct product G=N×Q with N=D10.13D4 and Q=C2
dρLabelID
C2×D10.13D4160C2xD10.13D4320,1177

Semidirect products G=N:Q with N=D10.13D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.13D41C2 = C10.2- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:1C2320,1179
D10.13D42C2 = C10.112+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:2C2320,1186
D10.13D43C2 = C10.62- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:3C2320,1187
D10.13D44C2 = C4210D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:4C2320,1199
D10.13D45C2 = C42.100D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:5C2320,1207
D10.13D46C2 = C42.104D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:6C2320,1212
D10.13D47C2 = D2023D4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:7C2320,1222
D10.13D48C2 = C4217D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:8C2320,1232
D10.13D49C2 = C42.133D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:9C2320,1254
D10.13D410C2 = C42.136D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:10C2320,1257
D10.13D411C2 = C10.372+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:11C2320,1277
D10.13D412C2 = C10.402+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:12C2320,1282
D10.13D413C2 = C10.442+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:13C2320,1287
D10.13D414C2 = C10.482+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:14C2320,1292
D10.13D415C2 = C4⋊C426D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:15C2320,1299
D10.13D416C2 = C10.162- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:16C2320,1300
D10.13D417C2 = D2021D4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:17C2320,1302
D10.13D418C2 = D2022D4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:18C2320,1303
D10.13D419C2 = C10.532+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:19C2320,1309
D10.13D420C2 = C10.202- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:20C2320,1310
D10.13D421C2 = C10.222- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:21C2320,1312
D10.13D422C2 = C10.562+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:22C2320,1316
D10.13D423C2 = C10.572+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:23C2320,1317
D10.13D424C2 = C10.262- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:24C2320,1319
D10.13D425C2 = D5×C22.D4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:25C2320,1324
D10.13D426C2 = C10.1202+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:26C2320,1325
D10.13D427C2 = C10.1212+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:27C2320,1326
D10.13D428C2 = C10.822- 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:28C2320,1327
D10.13D429C2 = C10.612+ 1+4φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:29C2320,1329
D10.13D430C2 = C10.662+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:30C2320,1335
D10.13D431C2 = C10.672+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:31C2320,1336
D10.13D432C2 = C10.692+ 1+4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:32C2320,1339
D10.13D433C2 = C42.237D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:33C2320,1363
D10.13D434C2 = C42.150D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:34C2320,1364
D10.13D435C2 = C42.153D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:35C2320,1367
D10.13D436C2 = C42.156D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:36C2320,1370
D10.13D437C2 = C42.158D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:37C2320,1372
D10.13D438C2 = C4223D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:38C2320,1376
D10.13D439C2 = C4224D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:39C2320,1377
D10.13D440C2 = C42.189D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:40C2320,1378
D10.13D441C2 = C42.161D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:41C2320,1379
D10.13D442C2 = C42.163D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:42C2320,1381
D10.13D443C2 = C42.164D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:43C2320,1382
D10.13D444C2 = C4225D10φ: C2/C1C2 ⊆ Out D10.13D480D10.13D4:44C2320,1383
D10.13D445C2 = C42.171D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:45C2320,1396
D10.13D446C2 = D2012D4φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:46C2320,1398
D10.13D447C2 = C42.178D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4:47C2320,1405
D10.13D448C2 = C42.93D10φ: trivial image160D10.13D4:48C2320,1200
D10.13D449C2 = C4212D10φ: trivial image80D10.13D4:49C2320,1219
D10.13D450C2 = C42.131D10φ: trivial image160D10.13D4:50C2320,1252

Non-split extensions G=N.Q with N=D10.13D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D10.13D4.1C2 = C42.132D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4.1C2320,1253
D10.13D4.2C2 = C42.151D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4.2C2320,1365
D10.13D4.3C2 = C42.152D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4.3C2320,1366
D10.13D4.4C2 = C42.157D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4.4C2320,1371
D10.13D4.5C2 = C42.180D10φ: C2/C1C2 ⊆ Out D10.13D4160D10.13D4.5C2320,1407

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