# Extensions 1→N→G→Q→1 with N=C20.23D4 and Q=C2

Direct product G=N×Q with N=C20.23D4 and Q=C2
dρLabelID
C2×C20.23D4160C2xC20.23D4320,1486

Semidirect products G=N:Q with N=C20.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.23D41C2 = D20.5D4φ: C2/C1C2 ⊆ Out C20.23D4808+C20.23D4:1C2320,380
C20.23D42C2 = D20.12D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:2C2320,446
C20.23D43C2 = (C5×D4).D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:3C2320,792
C20.23D44C2 = C40.43D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:4C2320,795
C20.23D45C2 = C409D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:5C2320,803
C20.23D46C2 = C40.28D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:6C2320,818
C20.23D47C2 = D20.39D4φ: C2/C1C2 ⊆ Out C20.23D4808+C20.23D4:7C2320,829
C20.23D48C2 = 2- 1+42D5φ: C2/C1C2 ⊆ Out C20.23D4808+C20.23D4:8C2320,872
C20.23D49C2 = C42.133D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:9C2320,1254
C20.23D410C2 = C42.136D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:10C2320,1257
C20.23D411C2 = C22⋊Q825D5φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:11C2320,1296
C20.23D412C2 = D2021D4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:12C2320,1302
C20.23D413C2 = Dic1022D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:13C2320,1305
C20.23D414C2 = C10.532+ 1+4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:14C2320,1309
C20.23D415C2 = C10.222- 1+4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:15C2320,1312
C20.23D416C2 = C10.242- 1+4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:16C2320,1315
C20.23D417C2 = C10.562+ 1+4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:17C2320,1316
C20.23D418C2 = C10.262- 1+4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:18C2320,1319
C20.23D419C2 = C42.138D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:19C2320,1342
C20.23D420C2 = D5×C4.4D4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:20C2320,1345
C20.23D421C2 = C4218D10φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:21C2320,1346
C20.23D422C2 = C4220D10φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:22C2320,1350
C20.23D423C2 = C42.143D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:23C2320,1353
C20.23D424C2 = C4222D10φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:24C2320,1355
C20.23D425C2 = C42.171D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:25C2320,1396
C20.23D426C2 = C42.240D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:26C2320,1397
C20.23D427C2 = C42.178D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:27C2320,1405
C20.23D428C2 = C42.179D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:28C2320,1406
C20.23D429C2 = C10.442- 1+4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:29C2320,1488
C20.23D430C2 = C10.452- 1+4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4:30C2320,1489
C20.23D431C2 = C10.1452+ 1+4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:31C2320,1501
C20.23D432C2 = C10.1462+ 1+4φ: C2/C1C2 ⊆ Out C20.23D480C20.23D4:32C2320,1502
C20.23D433C2 = C42.131D10φ: trivial image160C20.23D4:33C2320,1252
C20.23D434C2 = (C2×C20)⋊17D4φ: trivial image160C20.23D4:34C2320,1504

Non-split extensions G=N.Q with N=C20.23D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.23D4.1C2 = (C2×C4).D20φ: C2/C1C2 ⊆ Out C20.23D4808+C20.23D4.1C2320,35
C20.23D4.2C2 = (C2×Q8).F5φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.2C2320,265
C20.23D4.3C2 = (C2×Q8)⋊F5φ: C2/C1C2 ⊆ Out C20.23D4808+C20.23D4.3C2320,266
C20.23D4.4C2 = Q8⋊C4⋊D5φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.4C2320,422
C20.23D4.5C2 = Dic10.11D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.5C2320,425
C20.23D4.6C2 = Q8⋊Dic5⋊C2φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.6C2320,427
C20.23D4.7C2 = (C2×Q16)⋊D5φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.7C2320,812
C20.23D4.8C2 = C40.37D4φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.8C2320,817
C20.23D4.9C2 = C42.122D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.9C2320,1240
C20.23D4.10C2 = C42.177D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.10C2320,1404
C20.23D4.11C2 = C42.180D10φ: C2/C1C2 ⊆ Out C20.23D4160C20.23D4.11C2320,1407

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