# Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C22

Direct product G=N×Q with N=C2×C12 and Q=C22
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C2×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1C22 = D6⋊D4φ: C22/C1C22 ⊆ Aut C2×C1224(C2xC12):1C2^296,89
(C2×C12)⋊2C22 = C2×S3×D4φ: C22/C1C22 ⊆ Aut C2×C1224(C2xC12):2C2^296,209
(C2×C12)⋊3C22 = D46D6φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12):3C2^296,211
(C2×C12)⋊4C22 = S3×C4○D4φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12):4C2^296,215
(C2×C12)⋊5C22 = D4○D12φ: C22/C1C22 ⊆ Aut C2×C12244+(C2xC12):5C2^296,216
(C2×C12)⋊6C22 = S3×C22⋊C4φ: C22/C1C22 ⊆ Aut C2×C1224(C2xC12):6C2^296,87
(C2×C12)⋊7C22 = C232D6φ: C22/C1C22 ⊆ Aut C2×C1224(C2xC12):7C2^296,144
(C2×C12)⋊8C22 = C3×C22≀C2φ: C22/C1C22 ⊆ Aut C2×C1224(C2xC12):8C2^296,167
(C2×C12)⋊9C22 = C3×2+ 1+4φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12):9C2^296,224
(C2×C12)⋊10C22 = C2×D6⋊C4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):10C2^296,134
(C2×C12)⋊11C22 = C6×C22⋊C4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):11C2^296,162
(C2×C12)⋊12C22 = C22×D12φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):12C2^296,207
(C2×C12)⋊13C22 = C2×C4○D12φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):13C2^296,208
(C2×C12)⋊14C22 = S3×C22×C4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):14C2^296,206
(C2×C12)⋊15C22 = D4×C2×C6φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):15C2^296,221
(C2×C12)⋊16C22 = C6×C4○D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12):16C2^296,223

Non-split extensions G=N.Q with N=C2×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C12).1C22 = Dic3.D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).1C2^296,85
(C2×C12).2C22 = C23.8D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).2C2^296,86
(C2×C12).3C22 = C23.21D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).3C2^296,93
(C2×C12).4C22 = C12⋊Q8φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).4C2^296,95
(C2×C12).5C22 = C12⋊D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).5C2^296,102
(C2×C12).6C22 = C4.D12φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).6C2^296,104
(C2×C12).7C22 = C4⋊C4⋊S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).7C2^296,105
(C2×C12).8C22 = C6.Q16φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).8C2^296,14
(C2×C12).9C22 = C12.Q8φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).9C2^296,15
(C2×C12).10C22 = C6.D8φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).10C2^296,16
(C2×C12).11C22 = C6.SD16φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).11C2^296,17
(C2×C12).12C22 = C12.53D4φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).12C2^296,29
(C2×C12).13C22 = C12.46D4φ: C22/C1C22 ⊆ Aut C2×C12244+(C2xC12).13C2^296,30
(C2×C12).14C22 = C12.47D4φ: C22/C1C22 ⊆ Aut C2×C12484-(C2xC12).14C2^296,31
(C2×C12).15C22 = D12⋊C4φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).15C2^296,32
(C2×C12).16C22 = D4⋊Dic3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).16C2^296,39
(C2×C12).17C22 = C12.D4φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).17C2^296,40
(C2×C12).18C22 = Q82Dic3φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).18C2^296,42
(C2×C12).19C22 = C12.10D4φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).19C2^296,43
(C2×C12).20C22 = Q83Dic3φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).20C2^296,44
(C2×C12).21C22 = Dic6⋊C4φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).21C2^296,94
(C2×C12).22C22 = C4.Dic6φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).22C2^296,97
(C2×C12).23C22 = S3×C4⋊C4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).23C2^296,98
(C2×C12).24C22 = Dic35D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).24C2^296,100
(C2×C12).25C22 = S3×M4(2)φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).25C2^296,113
(C2×C12).26C22 = D12.C4φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).26C2^296,114
(C2×C12).27C22 = C8⋊D6φ: C22/C1C22 ⊆ Aut C2×C12244+(C2xC12).27C2^296,115
(C2×C12).28C22 = C8.D6φ: C22/C1C22 ⊆ Aut C2×C12484-(C2xC12).28C2^296,116
(C2×C12).29C22 = C2×D4⋊S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).29C2^296,138
(C2×C12).30C22 = D126C22φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).30C2^296,139
(C2×C12).31C22 = C2×D4.S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).31C2^296,140
(C2×C12).32C22 = D4×Dic3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).32C2^296,141
(C2×C12).33C22 = C23.12D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).33C2^296,143
(C2×C12).34C22 = D63D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).34C2^296,145
(C2×C12).35C22 = C123D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).35C2^296,147
(C2×C12).36C22 = C2×Q82S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).36C2^296,148
(C2×C12).37C22 = Q8.11D6φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).37C2^296,149
(C2×C12).38C22 = C2×C3⋊Q16φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).38C2^296,150
(C2×C12).39C22 = Q8×Dic3φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).39C2^296,152
(C2×C12).40C22 = C12.23D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).40C2^296,154
(C2×C12).41C22 = D4.Dic3φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).41C2^296,155
(C2×C12).42C22 = D4⋊D6φ: C22/C1C22 ⊆ Aut C2×C12244+(C2xC12).42C2^296,156
(C2×C12).43C22 = Q8.13D6φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).43C2^296,157
(C2×C12).44C22 = Q8.14D6φ: C22/C1C22 ⊆ Aut C2×C12484-(C2xC12).44C2^296,158
(C2×C12).45C22 = C2×D42S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).45C2^296,210
(C2×C12).46C22 = C2×S3×Q8φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).46C2^296,212
(C2×C12).47C22 = C2×Q83S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).47C2^296,213
(C2×C12).48C22 = Q8.15D6φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).48C2^296,214
(C2×C12).49C22 = Q8○D12φ: C22/C1C22 ⊆ Aut C2×C12484-(C2xC12).49C2^296,217
(C2×C12).50C22 = C23.16D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).50C2^296,84
(C2×C12).51C22 = Dic34D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).51C2^296,88
(C2×C12).52C22 = C23.9D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).52C2^296,90
(C2×C12).53C22 = Dic3⋊D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).53C2^296,91
(C2×C12).54C22 = C23.11D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).54C2^296,92
(C2×C12).55C22 = Dic3.Q8φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).55C2^296,96
(C2×C12).56C22 = C4⋊C47S3φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).56C2^296,99
(C2×C12).57C22 = D6.D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).57C2^296,101
(C2×C12).58C22 = D6⋊Q8φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).58C2^296,103
(C2×C12).59C22 = C3×C4.D4φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).59C2^296,50
(C2×C12).60C22 = C3×C4.10D4φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).60C2^296,51
(C2×C12).61C22 = C23.23D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).61C2^296,142
(C2×C12).62C22 = C23.14D6φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).62C2^296,146
(C2×C12).63C22 = Dic3⋊Q8φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).63C2^296,151
(C2×C12).64C22 = D63Q8φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).64C2^296,153
(C2×C12).65C22 = C3×C22.D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).65C2^296,170
(C2×C12).66C22 = C3×C4.4D4φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).66C2^296,171
(C2×C12).67C22 = C3×C42.C2φ: C22/C1C22 ⊆ Aut C2×C1296(C2xC12).67C2^296,172
(C2×C12).68C22 = C3×C422C2φ: C22/C1C22 ⊆ Aut C2×C1248(C2xC12).68C2^296,173
(C2×C12).69C22 = C3×C8⋊C22φ: C22/C1C22 ⊆ Aut C2×C12244(C2xC12).69C2^296,183
(C2×C12).70C22 = C3×C8.C22φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).70C2^296,184
(C2×C12).71C22 = C3×2- 1+4φ: C22/C1C22 ⊆ Aut C2×C12484(C2xC12).71C2^296,225
(C2×C12).72C22 = C12.6Q8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).72C2^296,77
(C2×C12).73C22 = C422S3φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).73C2^296,79
(C2×C12).74C22 = C427S3φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).74C2^296,82
(C2×C12).75C22 = C423S3φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).75C2^296,83
(C2×C12).76C22 = C2×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).76C2^296,130
(C2×C12).77C22 = C4×C3⋊D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).77C2^296,135
(C2×C12).78C22 = C23.28D6φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).78C2^296,136
(C2×C12).79C22 = C3×C42⋊C2φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).79C2^296,164
(C2×C12).80C22 = C2.Dic12φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).80C2^296,23
(C2×C12).81C22 = C8⋊Dic3φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).81C2^296,24
(C2×C12).82C22 = C241C4φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).82C2^296,25
(C2×C12).83C22 = C2.D24φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).83C2^296,28
(C2×C12).84C22 = C4×Dic6φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).84C2^296,75
(C2×C12).85C22 = C122Q8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).85C2^296,76
(C2×C12).86C22 = C4×D12φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).86C2^296,80
(C2×C12).87C22 = C4⋊D12φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).87C2^296,81
(C2×C12).88C22 = C2×C24⋊C2φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).88C2^296,109
(C2×C12).89C22 = C2×D24φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).89C2^296,110
(C2×C12).90C22 = C2×Dic12φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).90C2^296,112
(C2×C12).91C22 = C12.48D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).91C2^296,131
(C2×C12).92C22 = C2×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).92C2^296,132
(C2×C12).93C22 = C23.26D6φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).93C2^296,133
(C2×C12).94C22 = C127D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).94C2^296,137
(C2×C12).95C22 = C22×Dic6φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).95C2^296,205
(C2×C12).96C22 = C424S3φ: C22/C2C2 ⊆ Aut C2×C12242(C2xC12).96C2^296,12
(C2×C12).97C22 = C24.C4φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).97C2^296,26
(C2×C12).98C22 = C8○D12φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).98C2^296,108
(C2×C12).99C22 = C4○D24φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).99C2^296,111
(C2×C12).100C22 = C2×C4.Dic3φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).100C2^296,128
(C2×C12).101C22 = C4×C3⋊C8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).101C2^296,9
(C2×C12).102C22 = C42.S3φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).102C2^296,10
(C2×C12).103C22 = C12⋊C8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).103C2^296,11
(C2×C12).104C22 = C8×Dic3φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).104C2^296,20
(C2×C12).105C22 = Dic3⋊C8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).105C2^296,21
(C2×C12).106C22 = C24⋊C4φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).106C2^296,22
(C2×C12).107C22 = D6⋊C8φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).107C2^296,27
(C2×C12).108C22 = C12.55D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).108C2^296,37
(C2×C12).109C22 = S3×C42φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).109C2^296,78
(C2×C12).110C22 = S3×C2×C8φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).110C2^296,106
(C2×C12).111C22 = C2×C8⋊S3φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).111C2^296,107
(C2×C12).112C22 = C22×C3⋊C8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).112C2^296,127
(C2×C12).113C22 = C2×C4×Dic3φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).113C2^296,129
(C2×C12).114C22 = C3×D4⋊C4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).114C2^296,52
(C2×C12).115C22 = C3×Q8⋊C4φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).115C2^296,53
(C2×C12).116C22 = C3×C4≀C2φ: C22/C2C2 ⊆ Aut C2×C12242(C2xC12).116C2^296,54
(C2×C12).117C22 = C3×C4.Q8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).117C2^296,56
(C2×C12).118C22 = C3×C2.D8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).118C2^296,57
(C2×C12).119C22 = C3×C8.C4φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).119C2^296,58
(C2×C12).120C22 = C6×C4⋊C4φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).120C2^296,163
(C2×C12).121C22 = D4×C12φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).121C2^296,165
(C2×C12).122C22 = Q8×C12φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).122C2^296,166
(C2×C12).123C22 = C3×C4⋊D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).123C2^296,168
(C2×C12).124C22 = C3×C22⋊Q8φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).124C2^296,169
(C2×C12).125C22 = C3×C41D4φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).125C2^296,174
(C2×C12).126C22 = C3×C4⋊Q8φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).126C2^296,175
(C2×C12).127C22 = C6×M4(2)φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).127C2^296,177
(C2×C12).128C22 = C3×C8○D4φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).128C2^296,178
(C2×C12).129C22 = C6×D8φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).129C2^296,179
(C2×C12).130C22 = C6×SD16φ: C22/C2C2 ⊆ Aut C2×C1248(C2xC12).130C2^296,180
(C2×C12).131C22 = C6×Q16φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).131C2^296,181
(C2×C12).132C22 = C3×C4○D8φ: C22/C2C2 ⊆ Aut C2×C12482(C2xC12).132C2^296,182
(C2×C12).133C22 = Q8×C2×C6φ: C22/C2C2 ⊆ Aut C2×C1296(C2xC12).133C2^296,222
(C2×C12).134C22 = C3×C8⋊C4central extension (φ=1)96(C2xC12).134C2^296,47
(C2×C12).135C22 = C3×C22⋊C8central extension (φ=1)48(C2xC12).135C2^296,48
(C2×C12).136C22 = C3×C4⋊C8central extension (φ=1)96(C2xC12).136C2^296,55

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