# Extensions 1→N→G→Q→1 with N=C2×C42.C2 and Q=C2

Direct product G=N×Q with N=C2×C42.C2 and Q=C2
dρLabelID
C22×C42.C2128C2^2xC4^2.C2128,2169

Semidirect products G=N:Q with N=C2×C42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42.C2)⋊1C2 = C4⋊C4.84D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):1C2128,757
(C2×C42.C2)⋊2C2 = C24.268C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):2C2128,1173
(C2×C42.C2)⋊3C2 = C24.569C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):3C2128,1174
(C2×C42.C2)⋊4C2 = C23.354C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):4C2128,1186
(C2×C42.C2)⋊5C2 = C23.360C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):5C2128,1192
(C2×C42.C2)⋊6C2 = C24.572C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):6C2128,1205
(C2×C42.C2)⋊7C2 = C23.375C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):7C2128,1207
(C2×C42.C2)⋊8C2 = C24.301C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):8C2128,1221
(C2×C42.C2)⋊9C2 = C23.390C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):9C2128,1222
(C2×C42.C2)⋊10C2 = C23.419C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):10C2128,1251
(C2×C42.C2)⋊11C2 = C23.456C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):11C2128,1288
(C2×C42.C2)⋊12C2 = C23.458C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):12C2128,1290
(C2×C42.C2)⋊13C2 = C42.172D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):13C2128,1294
(C2×C42.C2)⋊14C2 = C42.175D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):14C2128,1298
(C2×C42.C2)⋊15C2 = C42.185D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):15C2128,1343
(C2×C42.C2)⋊16C2 = C42.188D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):16C2128,1361
(C2×C42.C2)⋊17C2 = C42.190D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):17C2128,1365
(C2×C42.C2)⋊18C2 = C42.194D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):18C2128,1373
(C2×C42.C2)⋊19C2 = C42.198D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):19C2128,1396
(C2×C42.C2)⋊20C2 = C23.590C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):20C2128,1422
(C2×C42.C2)⋊21C2 = C24.401C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):21C2128,1426
(C2×C42.C2)⋊22C2 = C24.408C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):22C2128,1436
(C2×C42.C2)⋊23C2 = C23.607C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):23C2128,1439
(C2×C42.C2)⋊24C2 = C23.611C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):24C2128,1443
(C2×C42.C2)⋊25C2 = C23.620C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):25C2128,1452
(C2×C42.C2)⋊26C2 = C23.621C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):26C2128,1453
(C2×C42.C2)⋊27C2 = C23.625C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):27C2128,1457
(C2×C42.C2)⋊28C2 = C42.199D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):28C2128,1552
(C2×C42.C2)⋊29C2 = C42.439D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):29C2128,1583
(C2×C42.C2)⋊30C2 = C4314C2φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):30C2128,1593
(C2×C42.C2)⋊31C2 = C2×D4.Q8φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):31C2128,1804
(C2×C42.C2)⋊32C2 = C42.449D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):32C2128,1812
(C2×C42.C2)⋊33C2 = C2×C42.78C22φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):33C2128,1862
(C2×C42.C2)⋊34C2 = C2×C42.29C22φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):34C2128,1865
(C2×C42.C2)⋊35C2 = C42.244D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):35C2128,1874
(C2×C42.C2)⋊36C2 = C42.284D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):36C2128,1964
(C2×C42.C2)⋊37C2 = C42.286D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):37C2128,1966
(C2×C42.C2)⋊38C2 = C2×C22.33C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):38C2128,2183
(C2×C42.C2)⋊39C2 = C2×C22.34C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):39C2128,2184
(C2×C42.C2)⋊40C2 = C2×C22.35C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):40C2128,2185
(C2×C42.C2)⋊41C2 = C2×C23.41C23φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):41C2128,2189
(C2×C42.C2)⋊42C2 = C2×C22.46C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):42C2128,2202
(C2×C42.C2)⋊43C2 = C2×C22.47C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):43C2128,2203
(C2×C42.C2)⋊44C2 = C2×D43Q8φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):44C2128,2204
(C2×C42.C2)⋊45C2 = C22.93C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):45C2128,2236
(C2×C42.C2)⋊46C2 = C22.101C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):46C2128,2244
(C2×C42.C2)⋊47C2 = C22.104C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):47C2128,2247
(C2×C42.C2)⋊48C2 = C2×C22.56C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):48C2128,2259
(C2×C42.C2)⋊49C2 = C2×C22.57C24φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):49C2128,2260
(C2×C42.C2)⋊50C2 = C22.142C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):50C2128,2285
(C2×C42.C2)⋊51C2 = C22.148C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):51C2128,2291
(C2×C42.C2)⋊52C2 = C22.152C25φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2):52C2128,2295
(C2×C42.C2)⋊53C2 = C2×C23.36C23φ: trivial image64(C2xC4^2.C2):53C2128,2171
(C2×C42.C2)⋊54C2 = C2×C23.37C23φ: trivial image64(C2xC4^2.C2):54C2128,2175

Non-split extensions G=N.Q with N=C2×C42.C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C42.C2).1C2 = C42.396D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).1C2128,202
(C2×C42.C2).2C2 = C2×C42.2C22φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).2C2128,255
(C2×C42.C2).3C2 = C42.408D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).3C2128,260
(C2×C42.C2).4C2 = C42.71D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).4C2128,266
(C2×C42.C2).5C2 = C42.123D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).5C2128,721
(C2×C42.C2).6C2 = C42.437D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).6C2128,723
(C2×C42.C2).7C2 = C42.124D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).7C2128,724
(C2×C42.C2).8C2 = C42.128D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).8C2128,730
(C2×C42.C2).9C2 = C4⋊C4.85D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).9C2128,758
(C2×C42.C2).10C2 = C2.(C8⋊Q8)φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).10C2128,791
(C2×C42.C2).11C2 = C42.33Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).11C2128,1062
(C2×C42.C2).12C2 = C23.218C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).12C2128,1068
(C2×C42.C2).13C2 = C23.252C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).13C2128,1102
(C2×C42.C2).14C2 = C23.253C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).14C2128,1103
(C2×C42.C2).15C2 = C23.264C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).15C2128,1114
(C2×C42.C2).16C2 = C23.353C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).16C2128,1185
(C2×C42.C2).17C2 = C23.362C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).17C2128,1194
(C2×C42.C2).18C2 = C23.406C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).18C2128,1238
(C2×C42.C2).19C2 = C426Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).19C2128,1282
(C2×C42.C2).20C2 = C42.35Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).20C2128,1284
(C2×C42.C2).21C2 = C42.174D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).21C2128,1297
(C2×C42.C2).22C2 = C42.181D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).22C2128,1316
(C2×C42.C2).23C2 = C42.191D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).23C2128,1366
(C2×C42.C2).24C2 = C42.195D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).24C2128,1374
(C2×C42.C2).25C2 = C4210Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).25C2128,1392
(C2×C42.C2).26C2 = C23.613C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).26C2128,1445
(C2×C42.C2).27C2 = C23.619C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).27C2128,1451
(C2×C42.C2).28C2 = C23.626C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).28C2128,1458
(C2×C42.C2).29C2 = C42.201D4φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).29C2128,1554
(C2×C42.C2).30C2 = C43.15C2φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).30C2128,1591
(C2×C42.C2).31C2 = C2×Q8.Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).31C2128,1807
(C2×C42.C2).32C2 = C2×C42.30C22φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).32C2128,1866
(C2×C42.C2).33C2 = C2×C8.5Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).33C2128,1890
(C2×C42.C2).34C2 = C2×C8⋊Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).34C2128,1893
(C2×C42.C2).35C2 = M4(2)⋊6Q8φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).35C2128,1898
(C2×C42.C2).36C2 = C42.288D4φ: C2/C1C2 ⊆ Out C2×C42.C264(C2xC4^2.C2).36C2128,1968
(C2×C42.C2).37C2 = C2×Q83Q8φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).37C2128,2208
(C2×C42.C2).38C2 = C2×C22.58C24φ: C2/C1C2 ⊆ Out C2×C42.C2128(C2xC4^2.C2).38C2128,2262
(C2×C42.C2).39C2 = C4×C42.C2φ: trivial image128(C2xC4^2.C2).39C2128,1037

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