# Extensions 1→N→G→Q→1 with N=C2×D4 and Q=C22

Direct product G=N×Q with N=C2×D4 and Q=C22
dρLabelID
D4×C2332D4xC2^364,261

Semidirect products G=N:Q with N=C2×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1C22 = C22⋊D8φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):1C2^264,128
(C2×D4)⋊2C22 = D44D4φ: C22/C1C22 ⊆ Out C2×D484+(C2xD4):2C2^264,134
(C2×D4)⋊3C22 = C22.29C24φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):3C2^264,216
(C2×D4)⋊4C22 = C22.32C24φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):4C2^264,219
(C2×D4)⋊5C22 = D42φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):5C2^264,226
(C2×D4)⋊6C22 = D45D4φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):6C2^264,227
(C2×D4)⋊7C22 = C22.54C24φ: C22/C1C22 ⊆ Out C2×D416(C2xD4):7C2^264,241
(C2×D4)⋊8C22 = D4○D8φ: C22/C1C22 ⊆ Out C2×D4164+(C2xD4):8C2^264,257
(C2×D4)⋊9C22 = C2×C22≀C2φ: C22/C2C2 ⊆ Out C2×D416(C2xD4):9C2^264,202
(C2×D4)⋊10C22 = C2×C4⋊D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4):10C2^264,203
(C2×D4)⋊11C22 = C22.19C24φ: C22/C2C2 ⊆ Out C2×D416(C2xD4):11C2^264,206
(C2×D4)⋊12C22 = C2×C41D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4):12C2^264,211
(C2×D4)⋊13C22 = C233D4φ: C22/C2C2 ⊆ Out C2×D416(C2xD4):13C2^264,215
(C2×D4)⋊14C22 = C22×D8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4):14C2^264,250
(C2×D4)⋊15C22 = C2×C8⋊C22φ: C22/C2C2 ⊆ Out C2×D416(C2xD4):15C2^264,254
(C2×D4)⋊16C22 = D8⋊C22φ: C22/C2C2 ⊆ Out C2×D4164(C2xD4):16C2^264,256
(C2×D4)⋊17C22 = C2×2+ 1+4φ: C22/C2C2 ⊆ Out C2×D416(C2xD4):17C2^264,264
(C2×D4)⋊18C22 = C2.C25φ: C22/C2C2 ⊆ Out C2×D4164(C2xD4):18C2^264,266
(C2×D4)⋊19C22 = C22×C4○D4φ: trivial image32(C2xD4):19C2^264,263

Non-split extensions G=N.Q with N=C2×D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×D4).1C22 = C2≀C4φ: C22/C1C22 ⊆ Out C2×D484+(C2xD4).1C2^264,32
(C2×D4).2C22 = C23.D4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).2C2^264,33
(C2×D4).3C22 = C42⋊C4φ: C22/C1C22 ⊆ Out C2×D484+(C2xD4).3C2^264,34
(C2×D4).4C22 = C423C4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).4C2^264,35
(C2×D4).5C22 = Q8⋊D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).5C2^264,129
(C2×D4).6C22 = D4⋊D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).6C2^264,130
(C2×D4).7C22 = D4.8D4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).7C2^264,135
(C2×D4).8C22 = D4.9D4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).8C2^264,136
(C2×D4).9C22 = C2≀C22φ: C22/C1C22 ⊆ Out C2×D484+(C2xD4).9C2^264,138
(C2×D4).10C22 = C23.7D4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).10C2^264,139
(C2×D4).11C22 = C4⋊D8φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).11C2^264,140
(C2×D4).12C22 = C4⋊SD16φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).12C2^264,141
(C2×D4).13C22 = D4.2D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).13C2^264,144
(C2×D4).14C22 = Q8.D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).14C2^264,145
(C2×D4).15C22 = C88D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).15C2^264,146
(C2×D4).16C22 = C87D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).16C2^264,147
(C2×D4).17C22 = C8⋊D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).17C2^264,149
(C2×D4).18C22 = C82D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).18C2^264,150
(C2×D4).19C22 = D4.3D4φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).19C2^264,152
(C2×D4).20C22 = D4.4D4φ: C22/C1C22 ⊆ Out C2×D4164+(C2xD4).20C2^264,153
(C2×D4).21C22 = C22.D8φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).21C2^264,161
(C2×D4).22C22 = C23.46D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).22C2^264,162
(C2×D4).23C22 = C23.19D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).23C2^264,163
(C2×D4).24C22 = C4.4D8φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).24C2^264,167
(C2×D4).25C22 = C42.78C22φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).25C2^264,169
(C2×D4).26C22 = C42.28C22φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).26C2^264,170
(C2×D4).27C22 = C42.29C22φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).27C2^264,171
(C2×D4).28C22 = C85D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).28C2^264,173
(C2×D4).29C22 = C84D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).29C2^264,174
(C2×D4).30C22 = C8.12D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).30C2^264,176
(C2×D4).31C22 = C83D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).31C2^264,177
(C2×D4).32C22 = C8.2D4φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).32C2^264,178
(C2×D4).33C22 = C22.34C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).33C2^264,221
(C2×D4).34C22 = C22.45C24φ: C22/C1C22 ⊆ Out C2×D416(C2xD4).34C2^264,232
(C2×D4).35C22 = C22.47C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).35C2^264,234
(C2×D4).36C22 = C22.49C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).36C2^264,236
(C2×D4).37C22 = C22.53C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).37C2^264,240
(C2×D4).38C22 = C24⋊C22φ: C22/C1C22 ⊆ Out C2×D416(C2xD4).38C2^264,242
(C2×D4).39C22 = C22.56C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).39C2^264,243
(C2×D4).40C22 = C22.57C24φ: C22/C1C22 ⊆ Out C2×D432(C2xD4).40C2^264,244
(C2×D4).41C22 = D4○SD16φ: C22/C1C22 ⊆ Out C2×D4164(C2xD4).41C2^264,258
(C2×D4).42C22 = C2×C23⋊C4φ: C22/C2C2 ⊆ Out C2×D416(C2xD4).42C2^264,90
(C2×D4).43C22 = C23.C23φ: C22/C2C2 ⊆ Out C2×D4164(C2xD4).43C2^264,91
(C2×D4).44C22 = C2×C4.D4φ: C22/C2C2 ⊆ Out C2×D416(C2xD4).44C2^264,92
(C2×D4).45C22 = M4(2).8C22φ: C22/C2C2 ⊆ Out C2×D4164(C2xD4).45C2^264,94
(C2×D4).46C22 = C2×D4⋊C4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).46C2^264,95
(C2×D4).47C22 = C23.24D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).47C2^264,97
(C2×D4).48C22 = C23.36D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).48C2^264,98
(C2×D4).49C22 = C23.37D4φ: C22/C2C2 ⊆ Out C2×D416(C2xD4).49C2^264,99
(C2×D4).50C22 = C4×D8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).50C2^264,118
(C2×D4).51C22 = C4×SD16φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).51C2^264,119
(C2×D4).52C22 = SD16⋊C4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).52C2^264,121
(C2×D4).53C22 = D8⋊C4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).53C2^264,123
(C2×D4).54C22 = C22⋊SD16φ: C22/C2C2 ⊆ Out C2×D416(C2xD4).54C2^264,131
(C2×D4).55C22 = D4.7D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).55C2^264,133
(C2×D4).56C22 = D4.D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).56C2^264,142
(C2×D4).57C22 = D4⋊Q8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).57C2^264,155
(C2×D4).58C22 = D42Q8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).58C2^264,157
(C2×D4).59C22 = D4.Q8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).59C2^264,159
(C2×D4).60C22 = C2×C22.D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).60C2^264,205
(C2×D4).61C22 = C2×C4.4D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).61C2^264,207
(C2×D4).62C22 = C23.36C23φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).62C2^264,210
(C2×D4).63C22 = C22.26C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).63C2^264,213
(C2×D4).64C22 = C23.38C23φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).64C2^264,217
(C2×D4).65C22 = C22.31C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).65C2^264,218
(C2×D4).66C22 = C22.33C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).66C2^264,220
(C2×D4).67C22 = C22.36C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).67C2^264,223
(C2×D4).68C22 = Q85D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).68C2^264,229
(C2×D4).69C22 = Q86D4φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).69C2^264,231
(C2×D4).70C22 = C22.46C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).70C2^264,233
(C2×D4).71C22 = C22.50C24φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).71C2^264,237
(C2×D4).72C22 = C22×SD16φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).72C2^264,251
(C2×D4).73C22 = C2×C4○D8φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).73C2^264,253
(C2×D4).74C22 = C2×C8.C22φ: C22/C2C2 ⊆ Out C2×D432(C2xD4).74C2^264,255
(C2×D4).75C22 = C2×C4×D4φ: trivial image32(C2xD4).75C2^264,196
(C2×D4).76C22 = C4×C4○D4φ: trivial image32(C2xD4).76C2^264,198
(C2×D4).77C22 = C22.11C24φ: trivial image16(C2xD4).77C2^264,199
(C2×D4).78C22 = C23.33C23φ: trivial image32(C2xD4).78C2^264,201
(C2×D4).79C22 = D46D4φ: trivial image32(C2xD4).79C2^264,228
(C2×D4).80C22 = D4×Q8φ: trivial image32(C2xD4).80C2^264,230
(C2×D4).81C22 = D43Q8φ: trivial image32(C2xD4).81C2^264,235
(C2×D4).82C22 = C2×2- 1+4φ: trivial image32(C2xD4).82C2^264,265

׿
×
𝔽