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Extensions 1→N→G→Q→1 with N=C42.6C4 and Q=C2

Direct product G=N×Q with N=C42.6C4 and Q=C2
dρLabelID
C2×C42.6C464C2xC4^2.6C4128,1650

Semidirect products G=N:Q with N=C42.6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.6C4⋊1C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:1C2128,1841
C42.6C4⋊2C2 = C42.228D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:2C2128,1842
C42.6C4⋊3C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:3C2128,1843
C42.6C4⋊4C2 = C42.230D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:4C2128,1844
C42.6C4⋊5C2 = C42.232D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:5C2128,1846
C42.6C4⋊6C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:6C2128,1847
C42.6C4⋊7C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:7C2128,1848
C42.6C4⋊8C2 = C42.235D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:8C2128,1849
C42.6C4⋊9C2 = C42.271D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:9C2128,1945
C42.6C4⋊10C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:10C2128,1946
C42.6C4⋊11C2 = C42.273D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:11C2128,1947
C42.6C4⋊12C2 = C42.274D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:12C2128,1948
C42.6C4⋊13C2 = C42.275D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:13C2128,1949
C42.6C4⋊14C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:14C2128,1950
C42.6C4⋊15C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:15C2128,1951
C42.6C4⋊16C2 = C42.286D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:16C2128,1966
C42.6C4⋊17C2 = C42.287D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:17C2128,1967
C42.6C4⋊18C2 = C42.290D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:18C2128,1970
C42.6C4⋊19C2 = C42.291D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:19C2128,1971
C42.6C4⋊20C2 = C42.292D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:20C2128,1972
C42.6C4⋊21C2 = C42.42D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:21C2128,196
C42.6C4⋊22C2 = C42.43D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:22C2128,198
C42.6C4⋊23C2 = C42.395D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:23C2128,201
C42.6C4⋊24C2 = C42.372D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:24C2128,205
C42.6C4⋊25C2 = C42.374D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:25C2128,220
C42.6C4⋊26C2 = D4⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:26C2128,222
C42.6C4⋊27C2 = C42.305D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:27C2128,226
C42.6C4⋊28C2 = C42.53D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:28C2128,228
C42.6C4⋊29C2 = C42.55D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:29C2128,237
C42.6C4⋊30C2 = C42.57D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:30C2128,241
C42.6C4⋊31C2 = C42.58D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:31C2128,244
C42.6C4⋊32C2 = C42.59D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:32C2128,246
C42.6C4⋊33C2 = C42.407D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:33C2128,259
C42.6C4⋊34C2 = C42.376D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:34C2128,261
C42.6C4⋊35C2 = C42.67D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:35C2128,262
C42.6C4⋊36C2 = C42.69D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:36C2128,264
C42.6C4⋊37C2 = C42.70D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:37C2128,265
C42.6C4⋊38C2 = C42.72D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:38C2128,267
C42.6C4⋊39C2 = C42.73D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:39C2128,268
C42.6C4⋊40C2 = C42.80D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:40C2128,283
C42.6C4⋊41C2 = C42.417D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:41C2128,285
C42.6C4⋊42C2 = C42.82D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:42C2128,287
C42.6C4⋊43C2 = C42.84D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:43C2128,289
C42.6C4⋊44C2 = C42.261C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:44C2128,1655
C42.6C4⋊45C2 = C42.262C23φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:45C2128,1656
C42.6C4⋊46C2 = C42.678C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:46C2128,1657
C42.6C4⋊47C2 = C42.292C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:47C2128,1699
C42.6C4⋊48C2 = D4⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:48C2128,1702
C42.6C4⋊49C2 = Q8⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:49C2128,1703
C42.6C4⋊50C2 = C23⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:50C2128,1705
C42.6C4⋊51C2 = D4⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4:51C2128,1706
C42.6C4⋊52C2 = C42.300C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:52C2128,1712
C42.6C4⋊53C2 = C42.301C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:53C2128,1713
C42.6C4⋊54C2 = C42.698C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:54C2128,1721
C42.6C4⋊55C2 = D4⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:55C2128,1722
C42.6C4⋊56C2 = C42.307C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:56C2128,1724
C42.6C4⋊57C2 = C42.310C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4:57C2128,1727
C42.6C4⋊58C2 = C42.677C23φ: trivial image32C4^2.6C4:58C2128,1652
C42.6C4⋊59C2 = C42.291C23φ: trivial image64C4^2.6C4:59C2128,1698

Non-split extensions G=N.Q with N=C42.6C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C42.6C4.1C2 = C42.231D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.1C2128,1845
C42.6C4.2C2 = C42.288D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.2C2128,1968
C42.6C4.3C2 = C42.289D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.3C2128,1969
C42.6C4.4C2 = C42.4Q8φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4.4C2128,17
C42.6C4.5C2 = C42.23D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.5C2128,19
C42.6C4.6C2 = C42.6Q8φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4.6C2128,20
C42.6C4.7C2 = C42.25D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.7C2128,22
C42.6C4.8C2 = C42.26D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.8C2128,23
C42.6C4.9C2 = C42.9Q8φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4.9C2128,32
C42.6C4.10C2 = C42.370D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.10C2128,34
C42.6C4.11C2 = C42.30D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.11C2128,39
C42.6C4.12C2 = C42.31D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.12C2128,40
C42.6C4.13C2 = C42.44D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.13C2128,199
C42.6C4.14C2 = C42.396D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.14C2128,202
C42.6C4.15C2 = Q8⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.15C2128,223
C42.6C4.16C2 = C42.54D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.16C2128,229
C42.6C4.17C2 = C42.56D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4.17C2128,238
C42.6C4.18C2 = C42.60D4φ: C2/C1 → C2 ⊆ Out C42.6C432C4^2.6C4.18C2128,247
C42.6C4.19C2 = C42.408D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.19C2128,260
C42.6C4.20C2 = C42.68D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.20C2128,263
C42.6C4.21C2 = C42.71D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.21C2128,266
C42.6C4.22C2 = C42.74D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.22C2128,269
C42.6C4.23C2 = C42.81D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.23C2128,284
C42.6C4.24C2 = C42.418D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.24C2128,286
C42.6C4.25C2 = C42.83D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.25C2128,288
C42.6C4.26C2 = C42.85D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.26C2128,290
C42.6C4.27C2 = C42.86D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.27C2128,291
C42.6C4.28C2 = C42.43Q8φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.28C2128,300
C42.6C4.29C2 = C8⋊1M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.29C2128,301
C42.6C4.30C2 = C42.Q8φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.30C2128,304
C42.6C4.31C2 = C42.92D4φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.31C2128,305
C42.6C4.32C2 = C42.302C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.32C2128,1715
C42.6C4.33C2 = Q8.4M4(2)φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.33C2128,1716
C42.6C4.34C2 = C42.696C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.34C2128,1717
C42.6C4.35C2 = C42.305C23φ: C2/C1 → C2 ⊆ Out C42.6C464C4^2.6C4.35C2128,1719

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