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Extensions 1→N→G→Q→1 with N=C2×C4⋊Q8 and Q=C2

Direct product G=N×Q with N=C2×C4⋊Q8 and Q=C2
dρLabelID
C22×C4⋊Q8128C2^2xC4:Q8128,2173

Semidirect products G=N:Q with N=C2×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Q8)⋊1C2 = C42.130D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q832(C2xC4:Q8):1C2128,737
(C2×C4⋊Q8)⋊2C2 = (C2×C4)⋊3SD16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):2C2128,745
(C2×C4⋊Q8)⋊3C2 = (C2×D4)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):3C2128,755
(C2×C4⋊Q8)⋊4C2 = C23.329C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):4C2128,1161
(C2×C4⋊Q8)⋊5C2 = C24.264C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):5C2128,1164
(C2×C4⋊Q8)⋊6C2 = C23.334C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):6C2128,1166
(C2×C4⋊Q8)⋊7C2 = C24.267C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):7C2128,1171
(C2×C4⋊Q8)⋊8C2 = C24.568C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):8C2128,1172
(C2×C4⋊Q8)⋊9C2 = C23.352C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):9C2128,1184
(C2×C4⋊Q8)⋊10C2 = C23.391C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):10C2128,1223
(C2×C4⋊Q8)⋊11C2 = C23.392C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):11C2128,1224
(C2×C4⋊Q8)⋊12C2 = C42.167D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):12C2128,1274
(C2×C4⋊Q8)⋊13C2 = C42.168D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):13C2128,1277
(C2×C4⋊Q8)⋊14C2 = C42.170D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):14C2128,1279
(C2×C4⋊Q8)⋊15C2 = C42.173D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):15C2128,1295
(C2×C4⋊Q8)⋊16C2 = C42.186D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):16C2128,1353
(C2×C4⋊Q8)⋊17C2 = C42.187D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):17C2128,1360
(C2×C4⋊Q8)⋊18C2 = C42.193D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):18C2128,1372
(C2×C4⋊Q8)⋊19C2 = C42.196D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):19C2128,1390
(C2×C4⋊Q8)⋊20C2 = C23.574C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):20C2128,1406
(C2×C4⋊Q8)⋊21C2 = C24.385C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):21C2128,1409
(C2×C4⋊Q8)⋊22C2 = C23.616C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):22C2128,1448
(C2×C4⋊Q8)⋊23C2 = C24.421C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):23C2128,1461
(C2×C4⋊Q8)⋊24C2 = C23.631C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):24C2128,1463
(C2×C4⋊Q8)⋊25C2 = C42.200D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):25C2128,1553
(C2×C4⋊Q8)⋊26C2 = C42.440D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):26C2128,1589
(C2×C4⋊Q8)⋊27C2 = C43⋊12C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):27C2128,1590
(C2×C4⋊Q8)⋊28C2 = C2×D4.10D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q832(C2xC4:Q8):28C2128,1749
(C2×C4⋊Q8)⋊29C2 = C2×D4.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):29C2128,1762
(C2×C4⋊Q8)⋊30C2 = C42.445D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):30C2128,1771
(C2×C4⋊Q8)⋊31C2 = C2×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):31C2128,1802
(C2×C4⋊Q8)⋊32C2 = C2×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):32C2128,1803
(C2×C4⋊Q8)⋊33C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):33C2128,1811
(C2×C4⋊Q8)⋊34C2 = C2×C4.4D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):34C2128,1860
(C2×C4⋊Q8)⋊35C2 = C2×C42.28C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):35C2128,1864
(C2×C4⋊Q8)⋊36C2 = C42.243D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):36C2128,1873
(C2×C4⋊Q8)⋊37C2 = C2×C8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):37C2128,1875
(C2×C4⋊Q8)⋊38C2 = C2×C8.2D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):38C2128,1881
(C2×C4⋊Q8)⋊39C2 = M4(2)⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):39C2128,1884
(C2×C4⋊Q8)⋊40C2 = C42.264D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):40C2128,1938
(C2×C4⋊Q8)⋊41C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):41C2128,1950
(C2×C4⋊Q8)⋊42C2 = C42.278D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):42C2128,1958
(C2×C4⋊Q8)⋊43C2 = C42.279D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):43C2128,1959
(C2×C4⋊Q8)⋊44C2 = C42.290D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):44C2128,1970
(C2×C4⋊Q8)⋊45C2 = C42.291D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):45C2128,1971
(C2×C4⋊Q8)⋊46C2 = C2×C23.38C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):46C2128,2179
(C2×C4⋊Q8)⋊47C2 = C2×C22.35C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):47C2128,2185
(C2×C4⋊Q8)⋊48C2 = C2×C22.36C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):48C2128,2186
(C2×C4⋊Q8)⋊49C2 = C2×C23.41C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):49C2128,2189
(C2×C4⋊Q8)⋊50C2 = C2×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):50C2128,2196
(C2×C4⋊Q8)⋊51C2 = C2×D4×Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):51C2128,2198
(C2×C4⋊Q8)⋊52C2 = C2×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):52C2128,2204
(C2×C4⋊Q8)⋊53C2 = C2×C22.49C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):53C2128,2205
(C2×C4⋊Q8)⋊54C2 = C2×C22.50C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):54C2128,2206
(C2×C4⋊Q8)⋊55C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):55C2128,2231
(C2×C4⋊Q8)⋊56C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):56C2128,2235
(C2×C4⋊Q8)⋊57C2 = C22.98C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):57C2128,2241
(C2×C4⋊Q8)⋊58C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):58C2128,2243
(C2×C4⋊Q8)⋊59C2 = C2×C22.57C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):59C2128,2260
(C2×C4⋊Q8)⋊60C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):60C2128,2276
(C2×C4⋊Q8)⋊61C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8):61C2128,2284
(C2×C4⋊Q8)⋊62C2 = C2×C22.26C24φ: trivial image64(C2xC4:Q8):62C2128,2174
(C2×C4⋊Q8)⋊63C2 = C2×C23.37C23φ: trivial image64(C2xC4:Q8):63C2128,2175

Non-split extensions G=N.Q with N=C2×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Q8).1C2 = C2×C4.10D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).1C2128,271
(C2×C4⋊Q8).2C2 = C2×C4.6Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).2C2128,273
(C2×C4⋊Q8).3C2 = C42.414D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).3C2128,278
(C2×C4⋊Q8).4C2 = C42.415D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).4C2128,280
(C2×C4⋊Q8).5C2 = C42.416D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).5C2128,281
(C2×C4⋊Q8).6C2 = C42.83D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).6C2128,288
(C2×C4⋊Q8).7C2 = C42.85D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).7C2128,290
(C2×C4⋊Q8).8C2 = C4⋊Q8⋊15C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q832(C2xC4:Q8).8C2128,618
(C2×C4⋊Q8).9C2 = C42.431D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).9C2128,688
(C2×C4⋊Q8).10C2 = C42.111D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).10C2128,692
(C2×C4⋊Q8).11C2 = C42.114D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).11C2128,698
(C2×C4⋊Q8).12C2 = C42.117D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).12C2128,713
(C2×C4⋊Q8).13C2 = C42.121D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).13C2128,719
(C2×C4⋊Q8).14C2 = C42.122D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).14C2128,720
(C2×C4⋊Q8).15C2 = C42.436D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).15C2128,722
(C2×C4⋊Q8).16C2 = C42.125D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).16C2128,725
(C2×C4⋊Q8).17C2 = M4(2)⋊8Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).17C2128,729
(C2×C4⋊Q8).18C2 = (C2×C4)⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).18C2128,748
(C2×C4⋊Q8).19C2 = (C2×Q8)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).19C2128,756
(C2×C4⋊Q8).20C2 = C4⋊C4.95D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).20C2128,775
(C2×C4⋊Q8).21C2 = C4⋊C4⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).21C2128,789
(C2×C4⋊Q8).22C2 = (C2×C8)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).22C2128,790
(C2×C4⋊Q8).23C2 = C2×C42.3C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q832(C2xC4:Q8).23C2128,863
(C2×C4⋊Q8).24C2 = C42.161D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).24C2128,1059
(C2×C4⋊Q8).25C2 = C42⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).25C2128,1063
(C2×C4⋊Q8).26C2 = C23.247C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).26C2128,1097
(C2×C4⋊Q8).27C2 = C23.251C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).27C2128,1101
(C2×C4⋊Q8).28C2 = C23.263C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).28C2128,1113
(C2×C4⋊Q8).29C2 = C23.346C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).29C2128,1178
(C2×C4⋊Q8).30C2 = C23.351C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).30C2128,1183
(C2×C4⋊Q8).31C2 = C42.169D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).31C2128,1278
(C2×C4⋊Q8).32C2 = C42⋊6Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).32C2128,1282
(C2×C4⋊Q8).33C2 = C42⋊7Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).33C2128,1283
(C2×C4⋊Q8).34C2 = C42.176D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).34C2128,1299
(C2×C4⋊Q8).35C2 = C42.177D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).35C2128,1300
(C2×C4⋊Q8).36C2 = C42.195D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).36C2128,1374
(C2×C4⋊Q8).37C2 = C42⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).37C2128,1392
(C2×C4⋊Q8).38C2 = C23.613C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).38C2128,1445
(C2×C4⋊Q8).39C2 = C23.634C24φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).39C2128,1466
(C2×C4⋊Q8).40C2 = C42⋊18Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).40C2128,1594
(C2×C4⋊Q8).41C2 = C42⋊19Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).41C2128,1600
(C2×C4⋊Q8).42C2 = C2×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).42C2128,1765
(C2×C4⋊Q8).43C2 = C2×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).43C2128,1805
(C2×C4⋊Q8).44C2 = C2×C4.Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).44C2128,1806
(C2×C4⋊Q8).45C2 = C2×C4.SD16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).45C2128,1861
(C2×C4⋊Q8).46C2 = C2×C42.30C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).46C2128,1866
(C2×C4⋊Q8).47C2 = C42.241D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).47C2128,1871
(C2×C4⋊Q8).48C2 = C2×C4⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).48C2128,1877
(C2×C4⋊Q8).49C2 = C2×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).49C2128,1889
(C2×C4⋊Q8).50C2 = C2×C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).50C2128,1891
(C2×C4⋊Q8).51C2 = C2×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).51C2128,1893
(C2×C4⋊Q8).52C2 = M4(2)⋊5Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).52C2128,1897
(C2×C4⋊Q8).53C2 = C42.267D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).53C2128,1941
(C2×C4⋊Q8).54C2 = C42.281D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).54C2128,1961
(C2×C4⋊Q8).55C2 = C42.282D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q864(C2xC4:Q8).55C2128,1962
(C2×C4⋊Q8).56C2 = C2×Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).56C2128,2208
(C2×C4⋊Q8).57C2 = C2×Q82φ: C2/C1 → C2 ⊆ Out C2×C4⋊Q8128(C2xC4:Q8).57C2128,2209
(C2×C4⋊Q8).58C2 = C4×C4⋊Q8φ: trivial image128(C2xC4:Q8).58C2128,1039

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