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Extensions 1→N→G→Q→1 with N=C42⋊9C4 and Q=C2

Direct product G=N×Q with N=C42⋊9C4 and Q=C2
dρLabelID
C2×C42⋊9C4128C2xC4^2:9C4128,1016

Semidirect products G=N:Q with N=C42⋊9C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊9C4⋊1C2 = C42.98D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:1C2128,534
C42⋊9C4⋊2C2 = C4≀C2⋊C4φ: C2/C1 → C2 ⊆ Out C42⋊9C432C4^2:9C4:2C2128,591
C42⋊9C4⋊3C2 = C42.432D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:3C2128,689
C42⋊9C4⋊4C2 = C42.110D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:4C2128,691
C42⋊9C4⋊5C2 = C42⋊11D4φ: C2/C1 → C2 ⊆ Out C42⋊9C432C4^2:9C4:5C2128,771
C42⋊9C4⋊6C2 = (C2×C4).24D8φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:6C2128,803
C42⋊9C4⋊7C2 = (C2×C4).27D8φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:7C2128,825
C42⋊9C4⋊8C2 = (C2×C8).169D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:8C2128,826
C42⋊9C4⋊9C2 = C24.192C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:9C2128,1046
C42⋊9C4⋊10C2 = C23.199C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:10C2128,1049
C42⋊9C4⋊11C2 = C42.160D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:11C2128,1058
C42⋊9C4⋊12C2 = D4×C4⋊C4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:12C2128,1080
C42⋊9C4⋊13C2 = C23.236C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:13C2128,1086
C42⋊9C4⋊14C2 = C24.230C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:14C2128,1115
C42⋊9C4⋊15C2 = C23.322C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:15C2128,1154
C42⋊9C4⋊16C2 = C23.323C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:16C2128,1155
C42⋊9C4⋊17C2 = C24.568C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:17C2128,1172
C42⋊9C4⋊18C2 = C24.268C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:18C2128,1173
C42⋊9C4⋊19C2 = C23.396C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:19C2128,1228
C42⋊9C4⋊20C2 = C23.397C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:20C2128,1229
C42⋊9C4⋊21C2 = C24.308C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:21C2128,1231
C42⋊9C4⋊22C2 = C23.400C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:22C2128,1232
C42⋊9C4⋊23C2 = C23.401C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:23C2128,1233
C42⋊9C4⋊24C2 = C23.402C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:24C2128,1234
C42⋊9C4⋊25C2 = C23.412C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:25C2128,1244
C42⋊9C4⋊26C2 = C42⋊18D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:26C2128,1269
C42⋊9C4⋊27C2 = C42.166D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:27C2128,1270
C42⋊9C4⋊28C2 = C42.167D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:28C2128,1274
C42⋊9C4⋊29C2 = C42.175D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:29C2128,1298
C42⋊9C4⋊30C2 = C42⋊28D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:30C2128,1352
C42⋊9C4⋊31C2 = C42.188D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:31C2128,1361
C42⋊9C4⋊32C2 = C23.580C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:32C2128,1412
C42⋊9C4⋊33C2 = C23.618C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:33C2128,1450
C42⋊9C4⋊34C2 = C23.620C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:34C2128,1452
C42⋊9C4⋊35C2 = C23.621C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:35C2128,1453
C42⋊9C4⋊36C2 = C24.454C23φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:36C2128,1522
C42⋊9C4⋊37C2 = C23.693C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:37C2128,1525
C42⋊9C4⋊38C2 = C23.695C24φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:38C2128,1527
C42⋊9C4⋊39C2 = C42⋊35D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:39C2128,1555
C42⋊9C4⋊40C2 = C42⋊47D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:40C2128,1588
C42⋊9C4⋊41C2 = C42.440D4φ: C2/C1 → C2 ⊆ Out C42⋊9C464C4^2:9C4:41C2128,1589
C42⋊9C4⋊42C2 = C23.167C24φ: trivial image64C4^2:9C4:42C2128,1017
C42⋊9C4⋊43C2 = C4×C4⋊1D4φ: trivial image64C4^2:9C4:43C2128,1038

Non-split extensions G=N.Q with N=C42⋊9C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42⋊9C4.1C2 = C42.8Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.1C2128,28
C42⋊9C4.2C2 = C42⋊3C8φ: C2/C1 → C2 ⊆ Out C42⋊9C432C4^2:9C4.2C2128,57
C42⋊9C4.3C2 = C42.99D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.3C2128,535
C42⋊9C4.4C2 = C42.55Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.4C2128,566
C42⋊9C4.5C2 = C42.24Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.5C2128,568
C42⋊9C4.6C2 = C42.58Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.6C2128,576
C42⋊9C4.7C2 = C42.59Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.7C2128,577
C42⋊9C4.8C2 = C42.26Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.8C2128,579
C42⋊9C4.9C2 = C42.29Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.9C2128,679
C42⋊9C4.10C2 = C42.30Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.10C2128,680
C42⋊9C4.11C2 = C42.431D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.11C2128,688
C42⋊9C4.12C2 = C42.436D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.12C2128,722
C42⋊9C4.13C2 = C42.124D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.13C2128,724
C42⋊9C4.14C2 = M4(2)⋊Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C432C4^2:9C4.14C2128,792
C42⋊9C4.15C2 = (C2×C4).19Q16φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.15C2128,804
C42⋊9C4.16C2 = (C2×C8).1Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.16C2128,815
C42⋊9C4.17C2 = C2.(C8⋊3Q8)φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.17C2128,816
C42⋊9C4.18C2 = (C2×C8).60D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.18C2128,827
C42⋊9C4.19C2 = (C2×C8).170D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.19C2128,828
C42⋊9C4.20C2 = (C2×C4).28D8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.20C2128,831
C42⋊9C4.21C2 = (C2×C4).23Q16φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.21C2128,832
C42⋊9C4.22C2 = C42.33Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.22C2128,1062
C42⋊9C4.23C2 = Q8×C4⋊C4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.23C2128,1082
C42⋊9C4.24C2 = C23.237C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.24C2128,1087
C42⋊9C4.25C2 = C23.406C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.25C2128,1238
C42⋊9C4.26C2 = C23.407C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.26C2128,1239
C42⋊9C4.27C2 = C23.411C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.27C2128,1243
C42⋊9C4.28C2 = C42⋊7Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.28C2128,1283
C42⋊9C4.29C2 = C42.35Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.29C2128,1284
C42⋊9C4.30C2 = C42.174D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.30C2128,1297
C42⋊9C4.31C2 = C42.176D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.31C2128,1299
C42⋊9C4.32C2 = C42.36Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.32C2128,1302
C42⋊9C4.33C2 = C42.37Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.33C2128,1303
C42⋊9C4.34C2 = C42.180D4φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.34C2128,1314
C42⋊9C4.35C2 = C42.39Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.35C2128,1379
C42⋊9C4.36C2 = C42⋊10Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.36C2128,1392
C42⋊9C4.37C2 = C23.691C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.37C2128,1523
C42⋊9C4.38C2 = C23.692C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.38C2128,1524
C42⋊9C4.39C2 = C23.694C24φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.39C2128,1526
C42⋊9C4.40C2 = C42⋊12Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.40C2128,1575
C42⋊9C4.41C2 = C43.15C2φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.41C2128,1591
C42⋊9C4.42C2 = C42⋊19Q8φ: C2/C1 → C2 ⊆ Out C42⋊9C4128C4^2:9C4.42C2128,1600
C42⋊9C4.43C2 = C4×C4⋊Q8φ: trivial image128C4^2:9C4.43C2128,1039

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