# Extensions 1→N→G→Q→1 with N=C23.34D4 and Q=C2

Direct product G=N×Q with N=C23.34D4 and Q=C2
dρLabelID
C2×C23.34D464C2xC2^3.34D4128,1011

Semidirect products G=N:Q with N=C23.34D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.34D41C2 = C24.26D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:1C2128,622
C23.34D42C2 = C23.235C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:2C2128,1085
C23.34D43C2 = C24.212C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:3C2128,1089
C23.34D44C2 = C24.56D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:4C2128,242
C23.34D45C2 = C24.59D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:5C2128,248
C23.34D46C2 = C24.165C23φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:6C2128,514
C23.34D47C2 = C24.174C23φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:7C2128,631
C23.34D48C2 = C24.31D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:8C2128,754
C23.34D49C2 = C24.90D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:9C2128,1040
C23.34D410C2 = C24.547C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:10C2128,1050
C23.34D411C2 = C23.201C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:11C2128,1051
C23.34D412C2 = C24.195C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:12C2128,1054
C23.34D413C2 = C23.215C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:13C2128,1065
C23.34D414C2 = C24.549C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:14C2128,1071
C23.34D415C2 = C23.224C24φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:15C2128,1074
C23.34D416C2 = C23.259C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:16C2128,1109
C23.34D417C2 = C23.304C24φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:17C2128,1136
C23.34D418C2 = C24.243C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:18C2128,1138
C23.34D419C2 = C24.95D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:19C2128,1144
C23.34D420C2 = C23.313C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:20C2128,1145
C23.34D421C2 = C24.563C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:21C2128,1151
C23.34D422C2 = C24.254C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:22C2128,1152
C23.34D423C2 = C23.344C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:23C2128,1176
C23.34D424C2 = C24.271C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:24C2128,1179
C23.34D425C2 = C24.278C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:25C2128,1189
C23.34D426C2 = C23.359C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:26C2128,1191
C23.34D427C2 = C24.286C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:27C2128,1198
C23.34D428C2 = C23.368C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:28C2128,1200
C23.34D429C2 = C23.382C24φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:29C2128,1214
C23.34D430C2 = C24.96D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:30C2128,1215
C23.34D431C2 = C24.299C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:31C2128,1218
C23.34D432C2 = C23.388C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:32C2128,1220
C23.34D433C2 = C23.416C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:33C2128,1248
C23.34D434C2 = C23.426C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:34C2128,1258
C23.34D435C2 = C23.434C24φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:35C2128,1266
C23.34D436C2 = C23.461C24φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:36C2128,1293
C23.34D437C2 = C23.472C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:37C2128,1304
C23.34D438C2 = C24.340C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:38C2128,1308
C23.34D439C2 = C23.500C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:39C2128,1332
C23.34D440C2 = C249D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:40C2128,1345
C23.34D441C2 = C23.514C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:41C2128,1346
C23.34D442C2 = C24.589C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:42C2128,1355
C23.34D443C2 = C23.535C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:43C2128,1367
C23.34D444C2 = C24.374C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:44C2128,1370
C23.34D445C2 = C24.393C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:45C2128,1418
C23.34D446C2 = C24.394C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:46C2128,1419
C23.34D447C2 = C24.395C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:47C2128,1420
C23.34D448C2 = C24.406C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:48C2128,1431
C23.34D449C2 = C23.600C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:49C2128,1432
C23.34D450C2 = C24.407C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:50C2128,1433
C23.34D451C2 = C23.637C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:51C2128,1469
C23.34D452C2 = C23.640C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:52C2128,1472
C23.34D453C2 = C23.643C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:53C2128,1475
C23.34D454C2 = C24.432C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:54C2128,1478
C23.34D455C2 = C23.649C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:55C2128,1481
C23.34D456C2 = C24.435C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:56C2128,1482
C23.34D457C2 = C23.651C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:57C2128,1483
C23.34D458C2 = C23.652C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:58C2128,1484
C23.34D459C2 = C23.660C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:59C2128,1492
C23.34D460C2 = C24.440C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:60C2128,1493
C23.34D461C2 = C23.715C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:61C2128,1547
C23.34D462C2 = C23.716C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:62C2128,1548
C23.34D463C2 = C24.166D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4:63C2128,1581
C23.34D464C2 = C23.753C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4:64C2128,1585
C23.34D465C2 = C25.85C22φ: trivial image32C2^3.34D4:65C2128,1012
C23.34D466C2 = C4×C22.D4φ: trivial image64C2^3.34D4:66C2128,1033

Non-split extensions G=N.Q with N=C23.34D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.34D4.1C2 = C23.15M4(2)φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.1C2128,49
C23.34D4.2C2 = C24.46D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.2C2128,16
C23.34D4.3C2 = C23.8C42φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.3C2128,38
C23.34D4.4C2 = C24.57D4φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.4C2128,243
C23.34D4.5C2 = C24.169C23φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.5C2128,552
C23.34D4.6C2 = C24.180C23φ: C2/C1C2 ⊆ Out C23.34D432C2^3.34D4.6C2128,762
C23.34D4.7C2 = C23.192C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.7C2128,1042
C23.34D4.8C2 = C23.195C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.8C2128,1045
C23.34D4.9C2 = C23.214C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.9C2128,1064
C23.34D4.10C2 = C23.225C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.10C2128,1075
C23.34D4.11C2 = C23.226C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.11C2128,1076
C23.34D4.12C2 = C24.227C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.12C2128,1110
C23.34D4.13C2 = C24.567C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.13C2128,1170
C23.34D4.14C2 = C24.576C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.14C2128,1216
C23.34D4.15C2 = C24.577C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.15C2128,1225
C23.34D4.16C2 = C24.579C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.16C2128,1235
C23.34D4.17C2 = C24.309C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.17C2128,1247
C23.34D4.18C2 = C24.315C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.18C2128,1259
C23.34D4.19C2 = C23.473C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.19C2128,1305
C23.34D4.20C2 = C24.339C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.20C2128,1307
C23.34D4.21C2 = C24.355C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.21C2128,1339
C23.34D4.22C2 = C23.508C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.22C2128,1340
C23.34D4.23C2 = C23.527C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.23C2128,1359
C23.34D4.24C2 = C24.379C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.24C2128,1397
C23.34D4.25C2 = C23.567C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.25C2128,1399
C23.34D4.26C2 = C23.589C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.26C2128,1421
C23.34D4.27C2 = C24.405C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.27C2128,1430
C23.34D4.28C2 = C24.426C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.28C2128,1470
C23.34D4.29C2 = C24.427C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.29C2128,1471
C23.34D4.30C2 = C24.430C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.30C2128,1476
C23.34D4.31C2 = C23.645C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.31C2128,1477
C23.34D4.32C2 = C23.664C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.32C2128,1496
C23.34D4.33C2 = C24.443C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.33C2128,1497
C23.34D4.34C2 = C23.671C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.34C2128,1503
C23.34D4.35C2 = C24.462C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.35C2128,1549
C23.34D4.36C2 = C23.741C24φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.36C2128,1573
C23.34D4.37C2 = C24.599C23φ: C2/C1C2 ⊆ Out C23.34D464C2^3.34D4.37C2128,1587
C23.34D4.38C2 = C23.165C24φ: trivial image64C2^3.34D4.38C2128,1015

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