# Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=C22

Direct product G=N×Q with N=C2×Q8 and Q=C22
dρLabelID
Q8×C2364Q8xC2^364,262

Semidirect products G=N:Q with N=C2×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1C22 = C22⋊SD16φ: C22/C1C22 ⊆ Out C2×Q816(C2xQ8):1C2^264,131
(C2×Q8)⋊2C22 = D4.9D4φ: C22/C1C22 ⊆ Out C2×Q8164(C2xQ8):2C2^264,136
(C2×Q8)⋊3C22 = C22.32C24φ: C22/C1C22 ⊆ Out C2×Q816(C2xQ8):3C2^264,219
(C2×Q8)⋊4C22 = C232Q8φ: C22/C1C22 ⊆ Out C2×Q816(C2xQ8):4C2^264,224
(C2×Q8)⋊5C22 = C22.45C24φ: C22/C1C22 ⊆ Out C2×Q816(C2xQ8):5C2^264,232
(C2×Q8)⋊6C22 = C24⋊C22φ: C22/C1C22 ⊆ Out C2×Q816(C2xQ8):6C2^264,242
(C2×Q8)⋊7C22 = D4○SD16φ: C22/C1C22 ⊆ Out C2×Q8164(C2xQ8):7C2^264,258
(C2×Q8)⋊8C22 = C2×C22⋊Q8φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8):8C2^264,204
(C2×Q8)⋊9C22 = C22.19C24φ: C22/C2C2 ⊆ Out C2×Q816(C2xQ8):9C2^264,206
(C2×Q8)⋊10C22 = C2×C4.4D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8):10C2^264,207
(C2×Q8)⋊11C22 = C22.29C24φ: C22/C2C2 ⊆ Out C2×Q816(C2xQ8):11C2^264,216
(C2×Q8)⋊12C22 = D45D4φ: C22/C2C2 ⊆ Out C2×Q816(C2xQ8):12C2^264,227
(C2×Q8)⋊13C22 = C22×SD16φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8):13C2^264,251
(C2×Q8)⋊14C22 = C2×C8⋊C22φ: C22/C2C2 ⊆ Out C2×Q816(C2xQ8):14C2^264,254
(C2×Q8)⋊15C22 = C2×C8.C22φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8):15C2^264,255
(C2×Q8)⋊16C22 = D8⋊C22φ: C22/C2C2 ⊆ Out C2×Q8164(C2xQ8):16C2^264,256
(C2×Q8)⋊17C22 = C2×2- 1+4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8):17C2^264,265
(C2×Q8)⋊18C22 = C2.C25φ: C22/C2C2 ⊆ Out C2×Q8164(C2xQ8):18C2^264,266
(C2×Q8)⋊19C22 = C22×C4○D4φ: trivial image32(C2xQ8):19C2^264,263
(C2×Q8)⋊20C22 = C2×2+ 1+4φ: trivial image16(C2xQ8):20C2^264,264

Non-split extensions G=N.Q with N=C2×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×Q8).1C22 = C42.C4φ: C22/C1C22 ⊆ Out C2×Q8164(C2xQ8).1C2^264,36
(C2×Q8).2C22 = C42.3C4φ: C22/C1C22 ⊆ Out C2×Q8164-(C2xQ8).2C2^264,37
(C2×Q8).3C22 = C22⋊Q16φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).3C2^264,132
(C2×Q8).4C22 = D4.7D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).4C2^264,133
(C2×Q8).5C22 = D4.8D4φ: C22/C1C22 ⊆ Out C2×Q8164(C2xQ8).5C2^264,135
(C2×Q8).6C22 = D4.10D4φ: C22/C1C22 ⊆ Out C2×Q8164-(C2xQ8).6C2^264,137
(C2×Q8).7C22 = D4.D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).7C2^264,142
(C2×Q8).8C22 = C42Q16φ: C22/C1C22 ⊆ Out C2×Q864(C2xQ8).8C2^264,143
(C2×Q8).9C22 = D4.2D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).9C2^264,144
(C2×Q8).10C22 = Q8.D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).10C2^264,145
(C2×Q8).11C22 = C88D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).11C2^264,146
(C2×Q8).12C22 = C8.18D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).12C2^264,148
(C2×Q8).13C22 = C8⋊D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).13C2^264,149
(C2×Q8).14C22 = C8.D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).14C2^264,151
(C2×Q8).15C22 = D4.3D4φ: C22/C1C22 ⊆ Out C2×Q8164(C2xQ8).15C2^264,152
(C2×Q8).16C22 = D4.5D4φ: C22/C1C22 ⊆ Out C2×Q8324-(C2xQ8).16C2^264,154
(C2×Q8).17C22 = C23.47D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).17C2^264,164
(C2×Q8).18C22 = C23.48D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).18C2^264,165
(C2×Q8).19C22 = C23.20D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).19C2^264,166
(C2×Q8).20C22 = C4.SD16φ: C22/C1C22 ⊆ Out C2×Q864(C2xQ8).20C2^264,168
(C2×Q8).21C22 = C42.78C22φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).21C2^264,169
(C2×Q8).22C22 = C42.28C22φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).22C2^264,170
(C2×Q8).23C22 = C42.30C22φ: C22/C1C22 ⊆ Out C2×Q864(C2xQ8).23C2^264,172
(C2×Q8).24C22 = C85D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).24C2^264,173
(C2×Q8).25C22 = C4⋊Q16φ: C22/C1C22 ⊆ Out C2×Q864(C2xQ8).25C2^264,175
(C2×Q8).26C22 = C8.12D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).26C2^264,176
(C2×Q8).27C22 = C83D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).27C2^264,177
(C2×Q8).28C22 = C8.2D4φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).28C2^264,178
(C2×Q8).29C22 = C22.33C24φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).29C2^264,220
(C2×Q8).30C22 = C22.36C24φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).30C2^264,223
(C2×Q8).31C22 = C23.41C23φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).31C2^264,225
(C2×Q8).32C22 = D43Q8φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).32C2^264,235
(C2×Q8).33C22 = C22.49C24φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).33C2^264,236
(C2×Q8).34C22 = Q82φ: C22/C1C22 ⊆ Out C2×Q864(C2xQ8).34C2^264,239
(C2×Q8).35C22 = C22.56C24φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).35C2^264,243
(C2×Q8).36C22 = C22.57C24φ: C22/C1C22 ⊆ Out C2×Q832(C2xQ8).36C2^264,244
(C2×Q8).37C22 = Q8○D8φ: C22/C1C22 ⊆ Out C2×Q8324-(C2xQ8).37C2^264,259
(C2×Q8).38C22 = C2×C4.10D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).38C2^264,93
(C2×Q8).39C22 = M4(2).8C22φ: C22/C2C2 ⊆ Out C2×Q8164(C2xQ8).39C2^264,94
(C2×Q8).40C22 = C2×Q8⋊C4φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).40C2^264,96
(C2×Q8).41C22 = C23.24D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).41C2^264,97
(C2×Q8).42C22 = C23.36D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).42C2^264,98
(C2×Q8).43C22 = C23.38D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).43C2^264,100
(C2×Q8).44C22 = C4×SD16φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).44C2^264,119
(C2×Q8).45C22 = C4×Q16φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).45C2^264,120
(C2×Q8).46C22 = SD16⋊C4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).46C2^264,121
(C2×Q8).47C22 = Q16⋊C4φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).47C2^264,122
(C2×Q8).48C22 = Q8⋊D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).48C2^264,129
(C2×Q8).49C22 = D4⋊D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).49C2^264,130
(C2×Q8).50C22 = C4⋊SD16φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).50C2^264,141
(C2×Q8).51C22 = Q8⋊Q8φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).51C2^264,156
(C2×Q8).52C22 = C4.Q16φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).52C2^264,158
(C2×Q8).53C22 = Q8.Q8φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).53C2^264,160
(C2×Q8).54C22 = C23.36C23φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).54C2^264,210
(C2×Q8).55C22 = C2×C4⋊Q8φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).55C2^264,212
(C2×Q8).56C22 = C22.26C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).56C2^264,213
(C2×Q8).57C22 = C23.37C23φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).57C2^264,214
(C2×Q8).58C22 = C23.38C23φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).58C2^264,217
(C2×Q8).59C22 = C22.31C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).59C2^264,218
(C2×Q8).60C22 = C22.35C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).60C2^264,222
(C2×Q8).61C22 = D46D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).61C2^264,228
(C2×Q8).62C22 = Q85D4φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).62C2^264,229
(C2×Q8).63C22 = D4×Q8φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).63C2^264,230
(C2×Q8).64C22 = C22.46C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).64C2^264,233
(C2×Q8).65C22 = C22.50C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).65C2^264,237
(C2×Q8).66C22 = Q83Q8φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).66C2^264,238
(C2×Q8).67C22 = C22.53C24φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).67C2^264,240
(C2×Q8).68C22 = C22×Q16φ: C22/C2C2 ⊆ Out C2×Q864(C2xQ8).68C2^264,252
(C2×Q8).69C22 = C2×C4○D8φ: C22/C2C2 ⊆ Out C2×Q832(C2xQ8).69C2^264,253
(C2×Q8).70C22 = C2×C4×Q8φ: trivial image64(C2xQ8).70C2^264,197
(C2×Q8).71C22 = C4×C4○D4φ: trivial image32(C2xQ8).71C2^264,198
(C2×Q8).72C22 = C23.32C23φ: trivial image32(C2xQ8).72C2^264,200
(C2×Q8).73C22 = C23.33C23φ: trivial image32(C2xQ8).73C2^264,201
(C2×Q8).74C22 = Q86D4φ: trivial image32(C2xQ8).74C2^264,231

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