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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C23

Direct product G=N×Q with N=C2×C4 and Q=C23
dρLabelID
C24×C464C2^4xC464,260

Semidirect products G=N:Q with N=C2×C4 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1C23 = C2×C22≀C2φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4):1C2^364,202
(C2×C4)⋊2C23 = C2×2+ 1+4φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4):2C2^364,264
(C2×C4)⋊3C23 = C22×C22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4):3C2^364,193
(C2×C4)⋊4C23 = D4×C23φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4):4C2^364,261
(C2×C4)⋊5C23 = C22×C4○D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4):5C2^364,263

Non-split extensions G=N.Q with N=C2×C4 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C4).1C23 = C2×C4.D4φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).1C2^364,92
(C2×C4).2C23 = C2×C4.10D4φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).2C2^364,93
(C2×C4).3C23 = M4(2).8C22φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).3C2^364,94
(C2×C4).4C23 = D4⋊4D4φ: C23/C2 → C22 ⊆ Aut C2×C484+(C2xC4).4C2^364,134
(C2×C4).5C23 = D4.8D4φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).5C2^364,135
(C2×C4).6C23 = D4.9D4φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).6C2^364,136
(C2×C4).7C23 = D4.10D4φ: C23/C2 → C22 ⊆ Aut C2×C4164-(C2xC4).7C2^364,137
(C2×C4).8C23 = D4.3D4φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).8C2^364,152
(C2×C4).9C23 = D4.4D4φ: C23/C2 → C22 ⊆ Aut C2×C4164+(C2xC4).9C2^364,153
(C2×C4).10C23 = D4.5D4φ: C23/C2 → C22 ⊆ Aut C2×C4324-(C2xC4).10C2^364,154
(C2×C4).11C23 = C2×C22⋊Q8φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).11C2^364,204
(C2×C4).12C23 = C2×C22.D4φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).12C2^364,205
(C2×C4).13C23 = C22.19C24φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).13C2^364,206
(C2×C4).14C23 = C2×C42.C2φ: C23/C2 → C22 ⊆ Aut C2×C464(C2xC4).14C2^364,208
(C2×C4).15C23 = C23.37C23φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).15C2^364,214
(C2×C4).16C23 = C23⋊3D4φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).16C2^364,215
(C2×C4).17C23 = C22.29C24φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).17C2^364,216
(C2×C4).18C23 = C23.38C23φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).18C2^364,217
(C2×C4).19C23 = C22.32C24φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).19C2^364,219
(C2×C4).20C23 = C22.33C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).20C2^364,220
(C2×C4).21C23 = C22.34C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).21C2^364,221
(C2×C4).22C23 = C22.35C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).22C2^364,222
(C2×C4).23C23 = C22.36C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).23C2^364,223
(C2×C4).24C23 = C23⋊2Q8φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).24C2^364,224
(C2×C4).25C23 = C23.41C23φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).25C2^364,225
(C2×C4).26C23 = D42φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).26C2^364,226
(C2×C4).27C23 = D4⋊5D4φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).27C2^364,227
(C2×C4).28C23 = D4⋊6D4φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).28C2^364,228
(C2×C4).29C23 = Q8⋊5D4φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).29C2^364,229
(C2×C4).30C23 = C22.45C24φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).30C2^364,232
(C2×C4).31C23 = D4⋊3Q8φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).31C2^364,235
(C2×C4).32C23 = C22.49C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).32C2^364,236
(C2×C4).33C23 = C22.50C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).33C2^364,237
(C2×C4).34C23 = Q82φ: C23/C2 → C22 ⊆ Aut C2×C464(C2xC4).34C2^364,239
(C2×C4).35C23 = C22.53C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).35C2^364,240
(C2×C4).36C23 = C22.54C24φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).36C2^364,241
(C2×C4).37C23 = C24⋊C22φ: C23/C2 → C22 ⊆ Aut C2×C416(C2xC4).37C2^364,242
(C2×C4).38C23 = C22.56C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).38C2^364,243
(C2×C4).39C23 = C22.57C24φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).39C2^364,244
(C2×C4).40C23 = C22.58C24φ: C23/C2 → C22 ⊆ Aut C2×C464(C2xC4).40C2^364,245
(C2×C4).41C23 = C2×C8.C22φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).41C2^364,255
(C2×C4).42C23 = D8⋊C22φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).42C2^364,256
(C2×C4).43C23 = D4○D8φ: C23/C2 → C22 ⊆ Aut C2×C4164+(C2xC4).43C2^364,257
(C2×C4).44C23 = D4○SD16φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).44C2^364,258
(C2×C4).45C23 = Q8○D8φ: C23/C2 → C22 ⊆ Aut C2×C4324-(C2xC4).45C2^364,259
(C2×C4).46C23 = C2×2- 1+4φ: C23/C2 → C22 ⊆ Aut C2×C432(C2xC4).46C2^364,265
(C2×C4).47C23 = C2.C25φ: C23/C2 → C22 ⊆ Aut C2×C4164(C2xC4).47C2^364,266
(C2×C4).48C23 = C22×C4⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).48C2^364,194
(C2×C4).49C23 = C2×C42⋊C2φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).49C2^364,195
(C2×C4).50C23 = C22.11C24φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).50C2^364,199
(C2×C4).51C23 = C23.33C23φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).51C2^364,201
(C2×C4).52C23 = C2×C4⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).52C2^364,203
(C2×C4).53C23 = C2×C42⋊2C2φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).53C2^364,209
(C2×C4).54C23 = C23.36C23φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).54C2^364,210
(C2×C4).55C23 = Q8⋊6D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).55C2^364,231
(C2×C4).56C23 = C22.46C24φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).56C2^364,233
(C2×C4).57C23 = C22.47C24φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).57C2^364,234
(C2×C4).58C23 = Q8⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).58C2^364,238
(C2×C4).59C23 = C2×D4⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).59C2^364,95
(C2×C4).60C23 = C2×Q8⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).60C2^364,96
(C2×C4).61C23 = C23.24D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).61C2^364,97
(C2×C4).62C23 = C23.36D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).62C2^364,98
(C2×C4).63C23 = C23.37D4φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).63C2^364,99
(C2×C4).64C23 = C23.38D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).64C2^364,100
(C2×C4).65C23 = C2×C4≀C2φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).65C2^364,101
(C2×C4).66C23 = C42⋊C22φ: C23/C22 → C2 ⊆ Aut C2×C4164(C2xC4).66C2^364,102
(C2×C4).67C23 = C2×C4.Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).67C2^364,106
(C2×C4).68C23 = C2×C2.D8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).68C2^364,107
(C2×C4).69C23 = C23.25D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).69C2^364,108
(C2×C4).70C23 = M4(2)⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).70C2^364,109
(C2×C4).71C23 = C2×C8.C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).71C2^364,110
(C2×C4).72C23 = M4(2).C4φ: C23/C22 → C2 ⊆ Aut C2×C4164(C2xC4).72C2^364,111
(C2×C4).73C23 = C4×D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).73C2^364,118
(C2×C4).74C23 = C4×SD16φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).74C2^364,119
(C2×C4).75C23 = C4×Q16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).75C2^364,120
(C2×C4).76C23 = SD16⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).76C2^364,121
(C2×C4).77C23 = Q16⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).77C2^364,122
(C2×C4).78C23 = D8⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).78C2^364,123
(C2×C4).79C23 = C8○D8φ: C23/C22 → C2 ⊆ Aut C2×C4162(C2xC4).79C2^364,124
(C2×C4).80C23 = C8.26D4φ: C23/C22 → C2 ⊆ Aut C2×C4164(C2xC4).80C2^364,125
(C2×C4).81C23 = C22⋊D8φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).81C2^364,128
(C2×C4).82C23 = Q8⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).82C2^364,129
(C2×C4).83C23 = D4⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).83C2^364,130
(C2×C4).84C23 = C22⋊SD16φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).84C2^364,131
(C2×C4).85C23 = C22⋊Q16φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).85C2^364,132
(C2×C4).86C23 = D4.7D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).86C2^364,133
(C2×C4).87C23 = C4⋊D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).87C2^364,140
(C2×C4).88C23 = C4⋊SD16φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).88C2^364,141
(C2×C4).89C23 = D4.D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).89C2^364,142
(C2×C4).90C23 = C4⋊2Q16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).90C2^364,143
(C2×C4).91C23 = D4.2D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).91C2^364,144
(C2×C4).92C23 = Q8.D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).92C2^364,145
(C2×C4).93C23 = C8⋊8D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).93C2^364,146
(C2×C4).94C23 = C8⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).94C2^364,147
(C2×C4).95C23 = C8.18D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).95C2^364,148
(C2×C4).96C23 = C8⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).96C2^364,149
(C2×C4).97C23 = C8⋊2D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).97C2^364,150
(C2×C4).98C23 = C8.D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).98C2^364,151
(C2×C4).99C23 = D4⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).99C2^364,155
(C2×C4).100C23 = Q8⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).100C2^364,156
(C2×C4).101C23 = D4⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).101C2^364,157
(C2×C4).102C23 = C4.Q16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).102C2^364,158
(C2×C4).103C23 = D4.Q8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).103C2^364,159
(C2×C4).104C23 = Q8.Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).104C2^364,160
(C2×C4).105C23 = C22.D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).105C2^364,161
(C2×C4).106C23 = C23.46D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).106C2^364,162
(C2×C4).107C23 = C23.19D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).107C2^364,163
(C2×C4).108C23 = C23.47D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).108C2^364,164
(C2×C4).109C23 = C23.48D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).109C2^364,165
(C2×C4).110C23 = C23.20D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).110C2^364,166
(C2×C4).111C23 = C4.4D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).111C2^364,167
(C2×C4).112C23 = C4.SD16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).112C2^364,168
(C2×C4).113C23 = C42.78C22φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).113C2^364,169
(C2×C4).114C23 = C42.28C22φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).114C2^364,170
(C2×C4).115C23 = C42.29C22φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).115C2^364,171
(C2×C4).116C23 = C42.30C22φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).116C2^364,172
(C2×C4).117C23 = C8⋊5D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).117C2^364,173
(C2×C4).118C23 = C8⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).118C2^364,174
(C2×C4).119C23 = C4⋊Q16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).119C2^364,175
(C2×C4).120C23 = C8.12D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).120C2^364,176
(C2×C4).121C23 = C8⋊3D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).121C2^364,177
(C2×C4).122C23 = C8.2D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).122C2^364,178
(C2×C4).123C23 = C8⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).123C2^364,179
(C2×C4).124C23 = C8.5Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).124C2^364,180
(C2×C4).125C23 = C8⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).125C2^364,181
(C2×C4).126C23 = C8⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).126C2^364,182
(C2×C4).127C23 = C2×C4×Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).127C2^364,197
(C2×C4).128C23 = C23.32C23φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).128C2^364,200
(C2×C4).129C23 = C2×C4.4D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).129C2^364,207
(C2×C4).130C23 = C2×C4⋊1D4φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).130C2^364,211
(C2×C4).131C23 = C2×C4⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).131C2^364,212
(C2×C4).132C23 = C22.31C24φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).132C2^364,218
(C2×C4).133C23 = D4×Q8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).133C2^364,230
(C2×C4).134C23 = Q8○M4(2)φ: C23/C22 → C2 ⊆ Aut C2×C4164(C2xC4).134C2^364,249
(C2×C4).135C23 = C22×D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).135C2^364,250
(C2×C4).136C23 = C22×SD16φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).136C2^364,251
(C2×C4).137C23 = C22×Q16φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).137C2^364,252
(C2×C4).138C23 = C2×C4○D8φ: C23/C22 → C2 ⊆ Aut C2×C432(C2xC4).138C2^364,253
(C2×C4).139C23 = C2×C8⋊C22φ: C23/C22 → C2 ⊆ Aut C2×C416(C2xC4).139C2^364,254
(C2×C4).140C23 = Q8×C23φ: C23/C22 → C2 ⊆ Aut C2×C464(C2xC4).140C2^364,262
(C2×C4).141C23 = C2×C8⋊C4central extension (φ=1)64(C2xC4).141C2^364,84
(C2×C4).142C23 = C4×M4(2)central extension (φ=1)32(C2xC4).142C2^364,85
(C2×C4).143C23 = C8○2M4(2)central extension (φ=1)32(C2xC4).143C2^364,86
(C2×C4).144C23 = C2×C22⋊C8central extension (φ=1)32(C2xC4).144C2^364,87
(C2×C4).145C23 = C24.4C4central extension (φ=1)16(C2xC4).145C2^364,88
(C2×C4).146C23 = (C22×C8)⋊C2central extension (φ=1)32(C2xC4).146C2^364,89
(C2×C4).147C23 = C2×C4⋊C8central extension (φ=1)64(C2xC4).147C2^364,103
(C2×C4).148C23 = C4⋊M4(2)central extension (φ=1)32(C2xC4).148C2^364,104
(C2×C4).149C23 = C42.6C22central extension (φ=1)32(C2xC4).149C2^364,105
(C2×C4).150C23 = C42.12C4central extension (φ=1)32(C2xC4).150C2^364,112
(C2×C4).151C23 = C42.6C4central extension (φ=1)32(C2xC4).151C2^364,113
(C2×C4).152C23 = C42.7C22central extension (φ=1)32(C2xC4).152C2^364,114
(C2×C4).153C23 = C8×D4central extension (φ=1)32(C2xC4).153C2^364,115
(C2×C4).154C23 = C8⋊9D4central extension (φ=1)32(C2xC4).154C2^364,116
(C2×C4).155C23 = C8⋊6D4central extension (φ=1)32(C2xC4).155C2^364,117
(C2×C4).156C23 = C8×Q8central extension (φ=1)64(C2xC4).156C2^364,126
(C2×C4).157C23 = C8⋊4Q8central extension (φ=1)64(C2xC4).157C2^364,127
(C2×C4).158C23 = C2×C4×D4central extension (φ=1)32(C2xC4).158C2^364,196
(C2×C4).159C23 = C4×C4○D4central extension (φ=1)32(C2xC4).159C2^364,198
(C2×C4).160C23 = C22.26C24central extension (φ=1)32(C2xC4).160C2^364,213
(C2×C4).161C23 = C22×M4(2)central extension (φ=1)32(C2xC4).161C2^364,247
(C2×C4).162C23 = C2×C8○D4central extension (φ=1)32(C2xC4).162C2^364,248

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