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Extensions 1→N→G→Q→1 with N=C42⋊5C4 and Q=C2

Direct product G=N×Q with N=C42⋊5C4 and Q=C2
dρLabelID
C2×C42⋊5C4128C2xC4^2:5C4128,1014

Semidirect products G=N:Q with N=C42⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊5C4⋊1C2 = C42.59D4φ: C2/C1 → C2 ⊆ Out C42⋊5C432C4^2:5C4:1C2128,246
C42⋊5C4⋊2C2 = C42.63D4φ: C2/C1 → C2 ⊆ Out C42⋊5C432C4^2:5C4:2C2128,253
C42⋊5C4⋊3C2 = C24.547C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:3C2128,1050
C42⋊5C4⋊4C2 = C24.205C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:4C2128,1069
C42⋊5C4⋊5C2 = C23.225C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:5C2128,1075
C42⋊5C4⋊6C2 = C23.229C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:6C2128,1079
C42⋊5C4⋊7C2 = C23.235C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:7C2128,1085
C42⋊5C4⋊8C2 = C23.262C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:8C2128,1112
C42⋊5C4⋊9C2 = C24.230C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:9C2128,1115
C42⋊5C4⋊10C2 = C24.577C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:10C2128,1225
C42⋊5C4⋊11C2 = C23.395C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:11C2128,1227
C42⋊5C4⋊12C2 = C23.410C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:12C2128,1242
C42⋊5C4⋊13C2 = C24.309C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:13C2128,1247
C42⋊5C4⋊14C2 = C23.418C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:14C2128,1250
C42⋊5C4⋊15C2 = C24.313C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:15C2128,1255
C42⋊5C4⋊16C2 = C23.425C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:16C2128,1257
C42⋊5C4⋊17C2 = C23.432C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:17C2128,1264
C42⋊5C4⋊18C2 = C23.472C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:18C2128,1304
C42⋊5C4⋊19C2 = C23.473C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:19C2128,1305
C42⋊5C4⋊20C2 = C24.341C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:20C2128,1309
C42⋊5C4⋊21C2 = C23.478C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:21C2128,1310
C42⋊5C4⋊22C2 = C42⋊22D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:22C2128,1330
C42⋊5C4⋊23C2 = C42.183D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:23C2128,1331
C42⋊5C4⋊24C2 = C42⋊29D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:24C2128,1363
C42⋊5C4⋊25C2 = C42.189D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:25C2128,1364
C42⋊5C4⋊26C2 = C42.190D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:26C2128,1365
C42⋊5C4⋊27C2 = C23.637C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:27C2128,1469
C42⋊5C4⋊28C2 = C24.426C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:28C2128,1470
C42⋊5C4⋊29C2 = C23.649C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:29C2128,1481
C42⋊5C4⋊30C2 = C23.656C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:30C2128,1488
C42⋊5C4⋊31C2 = C24.438C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:31C2128,1489
C42⋊5C4⋊32C2 = C23.659C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:32C2128,1491
C42⋊5C4⋊33C2 = C23.664C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:33C2128,1496
C42⋊5C4⋊34C2 = C24.445C23φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:34C2128,1502
C42⋊5C4⋊35C2 = C23.675C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:35C2128,1507
C42⋊5C4⋊36C2 = C23.677C24φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:36C2128,1509
C42⋊5C4⋊37C2 = C42⋊33D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:37C2128,1550
C42⋊5C4⋊38C2 = C42.200D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:38C2128,1553
C42⋊5C4⋊39C2 = C42⋊43D4φ: C2/C1 → C2 ⊆ Out C42⋊5C464C4^2:5C4:39C2128,1584
C42⋊5C4⋊40C2 = C23.165C24φ: trivial image64C4^2:5C4:40C2128,1015
C42⋊5C4⋊41C2 = C4×C42⋊2C2φ: trivial image64C4^2:5C4:41C2128,1036

Non-split extensions G=N.Q with N=C42⋊5C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊5C4.1C2 = C42.6Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C432C4^2:5C4.1C2128,20
C42⋊5C4.2C2 = C42.60D4φ: C2/C1 → C2 ⊆ Out C42⋊5C432C4^2:5C4.2C2128,247
C42⋊5C4.3C2 = C23.202C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.3C2128,1052
C42⋊5C4.4C2 = C23.218C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.4C2128,1068
C42⋊5C4.5C2 = C23.238C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.5C2128,1088
C42⋊5C4.6C2 = C23.263C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.6C2128,1113
C42⋊5C4.7C2 = C23.414C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.7C2128,1246
C42⋊5C4.8C2 = C23.424C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.8C2128,1256
C42⋊5C4.9C2 = C23.433C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.9C2128,1265
C42⋊5C4.10C2 = C42⋊8Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.10C2128,1337
C42⋊5C4.11C2 = C42.38Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.11C2128,1338
C42⋊5C4.12C2 = C42.191D4φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.12C2128,1366
C42⋊5C4.13C2 = C42⋊11Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.13C2128,1398
C42⋊5C4.14C2 = C23.658C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.14C2128,1490
C42⋊5C4.15C2 = C23.662C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.15C2128,1494
C42⋊5C4.16C2 = C23.666C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.16C2128,1498
C42⋊5C4.17C2 = C23.669C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.17C2128,1501
C42⋊5C4.18C2 = C23.676C24φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.18C2128,1508
C42⋊5C4.19C2 = C42⋊12Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.19C2128,1575
C42⋊5C4.20C2 = C42⋊15Q8φ: C2/C1 → C2 ⊆ Out C42⋊5C4128C4^2:5C4.20C2128,1595

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