# Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C22

Direct product G=N×Q with N=C22×C4 and Q=C22
dρLabelID
C24×C464C2^4xC464,260

Semidirect products G=N:Q with N=C22×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1C22 = C243C4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):1C2^264,60
(C22×C4)⋊2C22 = C23.7D4φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4):2C2^264,139
(C22×C4)⋊3C22 = C22.11C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):3C2^264,199
(C22×C4)⋊4C22 = C22.45C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):4C2^264,232
(C22×C4)⋊5C22 = C2×C22≀C2φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):5C2^264,202
(C22×C4)⋊6C22 = C22.19C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):6C2^264,206
(C22×C4)⋊7C22 = C233D4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):7C2^264,215
(C22×C4)⋊8C22 = C22.29C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):8C2^264,216
(C22×C4)⋊9C22 = C22.32C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):9C2^264,219
(C22×C4)⋊10C22 = D42φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):10C2^264,226
(C22×C4)⋊11C22 = D45D4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):11C2^264,227
(C22×C4)⋊12C22 = C22.54C24φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):12C2^264,241
(C22×C4)⋊13C22 = C2×2+ 1+4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4):13C2^264,264
(C22×C4)⋊14C22 = C2.C25φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4):14C2^264,266
(C22×C4)⋊15C22 = C22×C22⋊C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):15C2^264,193
(C22×C4)⋊16C22 = C2×C4×D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):16C2^264,196
(C22×C4)⋊17C22 = C2×C22.D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):17C2^264,205
(C22×C4)⋊18C22 = C2×C4⋊D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):18C2^264,203
(C22×C4)⋊19C22 = D4×C23φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):19C2^264,261
(C22×C4)⋊20C22 = C22×C4○D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4):20C2^264,263

Non-split extensions G=N.Q with N=C22×C4 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C4).1C22 = C23⋊C8φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).1C2^264,4
(C22×C4).2C22 = C22.M4(2)φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).2C2^264,5
(C22×C4).3C22 = C425C4φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).3C2^264,64
(C22×C4).4C22 = C23.8Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).4C2^264,66
(C22×C4).5C22 = C24.3C22φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).5C2^264,71
(C22×C4).6C22 = C23.67C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).6C2^264,72
(C22×C4).7C22 = C232D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).7C2^264,73
(C22×C4).8C22 = C23.Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).8C2^264,77
(C22×C4).9C22 = C23.11D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).9C2^264,78
(C22×C4).10C22 = C23.81C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).10C2^264,79
(C22×C4).11C22 = C23.4Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).11C2^264,80
(C22×C4).12C22 = C23.84C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).12C2^264,82
(C22×C4).13C22 = C22.33C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).13C2^264,220
(C22×C4).14C22 = C22.47C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).14C2^264,234
(C22×C4).15C22 = C22.53C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).15C2^264,240
(C22×C4).16C22 = C22.SD16φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).16C2^264,8
(C22×C4).17C22 = C23.31D4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).17C2^264,9
(C22×C4).18C22 = C4.9C42φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).18C2^264,18
(C22×C4).19C22 = C4.10C42φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).19C2^264,19
(C22×C4).20C22 = C22.C42φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).20C2^264,24
(C22×C4).21C22 = M4(2)⋊4C4φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).21C2^264,25
(C22×C4).22C22 = C23.63C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).22C2^264,68
(C22×C4).23C22 = C24.C22φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).23C2^264,69
(C22×C4).24C22 = C23.65C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).24C2^264,70
(C22×C4).25C22 = C23⋊Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).25C2^264,74
(C22×C4).26C22 = C23.10D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).26C2^264,75
(C22×C4).27C22 = C23.78C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).27C2^264,76
(C22×C4).28C22 = C23.83C23φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).28C2^264,81
(C22×C4).29C22 = (C22×C8)⋊C2φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).29C2^264,89
(C22×C4).30C22 = C23.C23φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).30C2^264,91
(C22×C4).31C22 = C2×C4.D4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).31C2^264,92
(C22×C4).32C22 = C2×C4.10D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).32C2^264,93
(C22×C4).33C22 = M4(2).8C22φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).33C2^264,94
(C22×C4).34C22 = C23.36D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).34C2^264,98
(C22×C4).35C22 = C23.37D4φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).35C2^264,99
(C22×C4).36C22 = C23.38D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).36C2^264,100
(C22×C4).37C22 = C42⋊C22φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).37C2^264,102
(C22×C4).38C22 = M4(2)⋊C4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).38C2^264,109
(C22×C4).39C22 = M4(2).C4φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).39C2^264,111
(C22×C4).40C22 = C42.7C22φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).40C2^264,114
(C22×C4).41C22 = C86D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).41C2^264,117
(C22×C4).42C22 = C22⋊D8φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).42C2^264,128
(C22×C4).43C22 = Q8⋊D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).43C2^264,129
(C22×C4).44C22 = D4⋊D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).44C2^264,130
(C22×C4).45C22 = C22⋊SD16φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).45C2^264,131
(C22×C4).46C22 = C22⋊Q16φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).46C2^264,132
(C22×C4).47C22 = D4.7D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).47C2^264,133
(C22×C4).48C22 = C8⋊D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).48C2^264,149
(C22×C4).49C22 = C82D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).49C2^264,150
(C22×C4).50C22 = C8.D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).50C2^264,151
(C22×C4).51C22 = C22.D8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).51C2^264,161
(C22×C4).52C22 = C23.46D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).52C2^264,162
(C22×C4).53C22 = C23.19D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).53C2^264,163
(C22×C4).54C22 = C23.47D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).54C2^264,164
(C22×C4).55C22 = C23.48D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).55C2^264,165
(C22×C4).56C22 = C23.20D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).56C2^264,166
(C22×C4).57C22 = C23.32C23φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).57C2^264,200
(C22×C4).58C22 = C23.33C23φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).58C2^264,201
(C22×C4).59C22 = C2×C42.C2φ: C22/C1C22 ⊆ Aut C22×C464(C2^2xC4).59C2^264,208
(C22×C4).60C22 = C2×C422C2φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).60C2^264,209
(C22×C4).61C22 = C23.38C23φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).61C2^264,217
(C22×C4).62C22 = C22.31C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).62C2^264,218
(C22×C4).63C22 = C22.34C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).63C2^264,221
(C22×C4).64C22 = C22.35C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).64C2^264,222
(C22×C4).65C22 = C22.36C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).65C2^264,223
(C22×C4).66C22 = C232Q8φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).66C2^264,224
(C22×C4).67C22 = C23.41C23φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).67C2^264,225
(C22×C4).68C22 = D46D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).68C2^264,228
(C22×C4).69C22 = Q85D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).69C2^264,229
(C22×C4).70C22 = D4×Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).70C2^264,230
(C22×C4).71C22 = Q86D4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).71C2^264,231
(C22×C4).72C22 = C22.46C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).72C2^264,233
(C22×C4).73C22 = D43Q8φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).73C2^264,235
(C22×C4).74C22 = C22.49C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).74C2^264,236
(C22×C4).75C22 = C22.50C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).75C2^264,237
(C22×C4).76C22 = C22.56C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).76C2^264,243
(C22×C4).77C22 = C22.57C24φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).77C2^264,244
(C22×C4).78C22 = Q8○M4(2)φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).78C2^264,249
(C22×C4).79C22 = C2×C8⋊C22φ: C22/C1C22 ⊆ Aut C22×C416(C2^2xC4).79C2^264,254
(C22×C4).80C22 = C2×C8.C22φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).80C2^264,255
(C22×C4).81C22 = D8⋊C22φ: C22/C1C22 ⊆ Aut C22×C4164(C2^2xC4).81C2^264,256
(C22×C4).82C22 = C2×2- 1+4φ: C22/C1C22 ⊆ Aut C22×C432(C2^2xC4).82C2^264,265
(C22×C4).83C22 = C2×C2.C42φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).83C2^264,56
(C22×C4).84C22 = C424C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).84C2^264,57
(C22×C4).85C22 = C4×C22⋊C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).85C2^264,58
(C22×C4).86C22 = C4×C4⋊C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).86C2^264,59
(C22×C4).87C22 = C23.7Q8φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).87C2^264,61
(C22×C4).88C22 = C23.34D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).88C2^264,62
(C22×C4).89C22 = C428C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).89C2^264,63
(C22×C4).90C22 = C23.23D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).90C2^264,67
(C22×C4).91C22 = C2×C22⋊C8φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).91C2^264,87
(C22×C4).92C22 = C24.4C4φ: C22/C2C2 ⊆ Aut C22×C416(C2^2xC4).92C2^264,88
(C22×C4).93C22 = C42.12C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).93C2^264,112
(C22×C4).94C22 = C42.6C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).94C2^264,113
(C22×C4).95C22 = C8×D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).95C2^264,115
(C22×C4).96C22 = C89D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).96C2^264,116
(C22×C4).97C22 = C22×C4⋊C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).97C2^264,194
(C22×C4).98C22 = C2×C42⋊C2φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).98C2^264,195
(C22×C4).99C22 = C2×C4.4D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).99C2^264,207
(C22×C4).100C22 = C23.36C23φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).100C2^264,210
(C22×C4).101C22 = C426C4φ: C22/C2C2 ⊆ Aut C22×C416(C2^2xC4).101C2^264,20
(C22×C4).102C22 = C22.4Q16φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).102C2^264,21
(C22×C4).103C22 = C4.C42φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).103C2^264,22
(C22×C4).104C22 = C429C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).104C2^264,65
(C22×C4).105C22 = C4×M4(2)φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).105C2^264,85
(C22×C4).106C22 = C82M4(2)φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).106C2^264,86
(C22×C4).107C22 = C2×D4⋊C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).107C2^264,95
(C22×C4).108C22 = C2×Q8⋊C4φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).108C2^264,96
(C22×C4).109C22 = C23.24D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).109C2^264,97
(C22×C4).110C22 = C2×C4≀C2φ: C22/C2C2 ⊆ Aut C22×C416(C2^2xC4).110C2^264,101
(C22×C4).111C22 = C4⋊M4(2)φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).111C2^264,104
(C22×C4).112C22 = C42.6C22φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).112C2^264,105
(C22×C4).113C22 = C2×C4.Q8φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).113C2^264,106
(C22×C4).114C22 = C2×C2.D8φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).114C2^264,107
(C22×C4).115C22 = C23.25D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).115C2^264,108
(C22×C4).116C22 = C2×C8.C4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).116C2^264,110
(C22×C4).117C22 = C88D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).117C2^264,146
(C22×C4).118C22 = C87D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).118C2^264,147
(C22×C4).119C22 = C8.18D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).119C2^264,148
(C22×C4).120C22 = C2×C4×Q8φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).120C2^264,197
(C22×C4).121C22 = C4×C4○D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).121C2^264,198
(C22×C4).122C22 = C2×C22⋊Q8φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).122C2^264,204
(C22×C4).123C22 = C2×C41D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).123C2^264,211
(C22×C4).124C22 = C2×C4⋊Q8φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).124C2^264,212
(C22×C4).125C22 = C22.26C24φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).125C2^264,213
(C22×C4).126C22 = C23.37C23φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).126C2^264,214
(C22×C4).127C22 = C22×M4(2)φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).127C2^264,247
(C22×C4).128C22 = C2×C8○D4φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).128C2^264,248
(C22×C4).129C22 = C22×D8φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).129C2^264,250
(C22×C4).130C22 = C22×SD16φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).130C2^264,251
(C22×C4).131C22 = C22×Q16φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).131C2^264,252
(C22×C4).132C22 = C2×C4○D8φ: C22/C2C2 ⊆ Aut C22×C432(C2^2xC4).132C2^264,253
(C22×C4).133C22 = Q8×C23φ: C22/C2C2 ⊆ Aut C22×C464(C2^2xC4).133C2^264,262
(C22×C4).134C22 = C22.7C42central extension (φ=1)64(C2^2xC4).134C2^264,17
(C22×C4).135C22 = C2×C8⋊C4central extension (φ=1)64(C2^2xC4).135C2^264,84
(C22×C4).136C22 = C2×C4⋊C8central extension (φ=1)64(C2^2xC4).136C2^264,103

׿
×
𝔽