Extensions 1→N→G→Q→1 with N=C2xC36 and Q=C22

Direct product G=NxQ with N=C2xC36 and Q=C22
dρLabelID
C23xC36288C2^3xC36288,367

Semidirect products G=N:Q with N=C2xC36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC36):1C22 = C22:3D36φ: C22/C1C22 ⊆ Aut C2xC3672(C2xC36):1C2^2288,92
(C2xC36):2C22 = C2xD4xD9φ: C22/C1C22 ⊆ Aut C2xC3672(C2xC36):2C2^2288,356
(C2xC36):3C22 = D4:6D18φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36):3C2^2288,358
(C2xC36):4C22 = C4oD4xD9φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36):4C2^2288,362
(C2xC36):5C22 = D4:8D18φ: C22/C1C22 ⊆ Aut C2xC36724+(C2xC36):5C2^2288,363
(C2xC36):6C22 = C22:C4xD9φ: C22/C1C22 ⊆ Aut C2xC3672(C2xC36):6C2^2288,90
(C2xC36):7C22 = C23:2D18φ: C22/C1C22 ⊆ Aut C2xC3672(C2xC36):7C2^2288,147
(C2xC36):8C22 = C9xC22wrC2φ: C22/C1C22 ⊆ Aut C2xC3672(C2xC36):8C2^2288,170
(C2xC36):9C22 = C9x2+ 1+4φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36):9C2^2288,371
(C2xC36):10C22 = C2xD18:C4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):10C2^2288,137
(C2xC36):11C22 = C22:C4xC18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):11C2^2288,165
(C2xC36):12C22 = C22xD36φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):12C2^2288,354
(C2xC36):13C22 = C2xD36:5C2φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):13C2^2288,355
(C2xC36):14C22 = C22xC4xD9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):14C2^2288,353
(C2xC36):15C22 = D4xC2xC18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):15C2^2288,368
(C2xC36):16C22 = C4oD4xC18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36):16C2^2288,370

Non-split extensions G=N.Q with N=C2xC36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC36).1C22 = C22:2Dic18φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).1C2^2288,88
(C2xC36).2C22 = C23.8D18φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).2C2^2288,89
(C2xC36).3C22 = C23.9D18φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).3C2^2288,93
(C2xC36).4C22 = D18:D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).4C2^2288,94
(C2xC36).5C22 = Dic9.D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).5C2^2288,95
(C2xC36).6C22 = C22.4D36φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).6C2^2288,96
(C2xC36).7C22 = C36:Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).7C2^2288,98
(C2xC36).8C22 = Dic9.Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).8C2^2288,99
(C2xC36).9C22 = C36.3Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).9C2^2288,100
(C2xC36).10C22 = D18.D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).10C2^2288,104
(C2xC36).11C22 = C4:D36φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).11C2^2288,105
(C2xC36).12C22 = D18:Q8φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).12C2^2288,106
(C2xC36).13C22 = D18:2Q8φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).13C2^2288,107
(C2xC36).14C22 = C4:C4:D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).14C2^2288,108
(C2xC36).15C22 = C36.Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).15C2^2288,14
(C2xC36).16C22 = C4.Dic18φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).16C2^2288,15
(C2xC36).17C22 = C18.Q16φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).17C2^2288,16
(C2xC36).18C22 = C18.D8φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).18C2^2288,17
(C2xC36).19C22 = C36.53D4φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).19C2^2288,29
(C2xC36).20C22 = C4.D36φ: C22/C1C22 ⊆ Aut C2xC361444-(C2xC36).20C2^2288,30
(C2xC36).21C22 = C36.48D4φ: C22/C1C22 ⊆ Aut C2xC36724+(C2xC36).21C2^2288,31
(C2xC36).22C22 = Dic18:C4φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).22C2^2288,32
(C2xC36).23C22 = C36.D4φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).23C2^2288,39
(C2xC36).24C22 = D4:Dic9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).24C2^2288,40
(C2xC36).25C22 = C36.9D4φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).25C2^2288,42
(C2xC36).26C22 = Q8:2Dic9φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).26C2^2288,43
(C2xC36).27C22 = Q8:3Dic9φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).27C2^2288,44
(C2xC36).28C22 = C4:C4xD9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).28C2^2288,101
(C2xC36).29C22 = M4(2)xD9φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).29C2^2288,116
(C2xC36).30C22 = D36.C4φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).30C2^2288,117
(C2xC36).31C22 = C8:D18φ: C22/C1C22 ⊆ Aut C2xC36724+(C2xC36).31C2^2288,118
(C2xC36).32C22 = C8.D18φ: C22/C1C22 ⊆ Aut C2xC361444-(C2xC36).32C2^2288,119
(C2xC36).33C22 = C2xD4.D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).33C2^2288,141
(C2xC36).34C22 = C2xD4:D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).34C2^2288,142
(C2xC36).35C22 = D36:6C22φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).35C2^2288,143
(C2xC36).36C22 = D4xDic9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).36C2^2288,144
(C2xC36).37C22 = C36.17D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).37C2^2288,146
(C2xC36).38C22 = C36:2D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).38C2^2288,148
(C2xC36).39C22 = C36:D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).39C2^2288,150
(C2xC36).40C22 = C2xC9:Q16φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).40C2^2288,151
(C2xC36).41C22 = C2xQ8:2D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).41C2^2288,152
(C2xC36).42C22 = C36.C23φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).42C2^2288,153
(C2xC36).43C22 = Q8xDic9φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).43C2^2288,155
(C2xC36).44C22 = D4.Dic9φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).44C2^2288,158
(C2xC36).45C22 = D4.D18φ: C22/C1C22 ⊆ Aut C2xC361444-(C2xC36).45C2^2288,159
(C2xC36).46C22 = D4:D18φ: C22/C1C22 ⊆ Aut C2xC36724+(C2xC36).46C2^2288,160
(C2xC36).47C22 = D4.9D18φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).47C2^2288,161
(C2xC36).48C22 = C2xD4:2D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).48C2^2288,357
(C2xC36).49C22 = C2xQ8xD9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).49C2^2288,359
(C2xC36).50C22 = C2xQ8:3D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).50C2^2288,360
(C2xC36).51C22 = Q8.15D18φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).51C2^2288,361
(C2xC36).52C22 = D4.10D18φ: C22/C1C22 ⊆ Aut C2xC361444-(C2xC36).52C2^2288,364
(C2xC36).53C22 = C23.16D18φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).53C2^2288,87
(C2xC36).54C22 = Dic9:4D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).54C2^2288,91
(C2xC36).55C22 = Dic9:3Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).55C2^2288,97
(C2xC36).56C22 = C4:C4:7D9φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).56C2^2288,102
(C2xC36).57C22 = D36:C4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).57C2^2288,103
(C2xC36).58C22 = C9xC4.D4φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).58C2^2288,50
(C2xC36).59C22 = C9xC4.10D4φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).59C2^2288,51
(C2xC36).60C22 = C23.23D18φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).60C2^2288,145
(C2xC36).61C22 = Dic9:D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).61C2^2288,149
(C2xC36).62C22 = Dic9:Q8φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).62C2^2288,154
(C2xC36).63C22 = D18:3Q8φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).63C2^2288,156
(C2xC36).64C22 = C36.23D4φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).64C2^2288,157
(C2xC36).65C22 = C9xC42.C2φ: C22/C1C22 ⊆ Aut C2xC36288(C2xC36).65C2^2288,175
(C2xC36).66C22 = C9xC42:2C2φ: C22/C1C22 ⊆ Aut C2xC36144(C2xC36).66C2^2288,176
(C2xC36).67C22 = C9xC8:C22φ: C22/C1C22 ⊆ Aut C2xC36724(C2xC36).67C2^2288,186
(C2xC36).68C22 = C9xC8.C22φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).68C2^2288,187
(C2xC36).69C22 = C9x2- 1+4φ: C22/C1C22 ⊆ Aut C2xC361444(C2xC36).69C2^2288,372
(C2xC36).70C22 = C4xDic18φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).70C2^2288,78
(C2xC36).71C22 = C42:2D9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).71C2^2288,82
(C2xC36).72C22 = C4xD36φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).72C2^2288,83
(C2xC36).73C22 = C42:3D9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).73C2^2288,86
(C2xC36).74C22 = C2xDic9:C4φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).74C2^2288,133
(C2xC36).75C22 = C36.49D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).75C2^2288,134
(C2xC36).76C22 = C4xC9:D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).76C2^2288,138
(C2xC36).77C22 = C23.28D18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).77C2^2288,139
(C2xC36).78C22 = C36:7D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).78C2^2288,140
(C2xC36).79C22 = C9xC22.D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).79C2^2288,173
(C2xC36).80C22 = C9xC4.4D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).80C2^2288,174
(C2xC36).81C22 = C36.45D4φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).81C2^2288,24
(C2xC36).82C22 = C8:Dic9φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).82C2^2288,25
(C2xC36).83C22 = C72:1C4φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).83C2^2288,26
(C2xC36).84C22 = C2.D72φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).84C2^2288,28
(C2xC36).85C22 = C36:2Q8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).85C2^2288,79
(C2xC36).86C22 = C36.6Q8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).86C2^2288,80
(C2xC36).87C22 = C42:6D9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).87C2^2288,84
(C2xC36).88C22 = C42:7D9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).88C2^2288,85
(C2xC36).89C22 = C2xDic36φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).89C2^2288,109
(C2xC36).90C22 = C2xC72:C2φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).90C2^2288,113
(C2xC36).91C22 = C2xD72φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).91C2^2288,114
(C2xC36).92C22 = C2xC4:Dic9φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).92C2^2288,135
(C2xC36).93C22 = C22xDic18φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).93C2^2288,352
(C2xC36).94C22 = C42:4D9φ: C22/C2C2 ⊆ Aut C2xC36722(C2xC36).94C2^2288,12
(C2xC36).95C22 = C72.C4φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).95C2^2288,20
(C2xC36).96C22 = D36.2C4φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).96C2^2288,112
(C2xC36).97C22 = D72:7C2φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).97C2^2288,115
(C2xC36).98C22 = C2xC4.Dic9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).98C2^2288,131
(C2xC36).99C22 = C4xC9:C8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).99C2^2288,9
(C2xC36).100C22 = C42.D9φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).100C2^2288,10
(C2xC36).101C22 = C36:C8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).101C2^2288,11
(C2xC36).102C22 = C8xDic9φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).102C2^2288,21
(C2xC36).103C22 = Dic9:C8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).103C2^2288,22
(C2xC36).104C22 = C72:C4φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).104C2^2288,23
(C2xC36).105C22 = D18:C8φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).105C2^2288,27
(C2xC36).106C22 = C36.55D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).106C2^2288,37
(C2xC36).107C22 = C42xD9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).107C2^2288,81
(C2xC36).108C22 = C2xC8xD9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).108C2^2288,110
(C2xC36).109C22 = C2xC8:D9φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).109C2^2288,111
(C2xC36).110C22 = C22xC9:C8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).110C2^2288,130
(C2xC36).111C22 = C2xC4xDic9φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).111C2^2288,132
(C2xC36).112C22 = C23.26D18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).112C2^2288,136
(C2xC36).113C22 = C9xD4:C4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).113C2^2288,52
(C2xC36).114C22 = C9xQ8:C4φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).114C2^2288,53
(C2xC36).115C22 = C9xC4wrC2φ: C22/C2C2 ⊆ Aut C2xC36722(C2xC36).115C2^2288,54
(C2xC36).116C22 = C9xC4.Q8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).116C2^2288,56
(C2xC36).117C22 = C9xC2.D8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).117C2^2288,57
(C2xC36).118C22 = C9xC8.C4φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).118C2^2288,58
(C2xC36).119C22 = C4:C4xC18φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).119C2^2288,166
(C2xC36).120C22 = D4xC36φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).120C2^2288,168
(C2xC36).121C22 = Q8xC36φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).121C2^2288,169
(C2xC36).122C22 = C9xC4:D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).122C2^2288,171
(C2xC36).123C22 = C9xC22:Q8φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).123C2^2288,172
(C2xC36).124C22 = C9xC4:1D4φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).124C2^2288,177
(C2xC36).125C22 = C9xC4:Q8φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).125C2^2288,178
(C2xC36).126C22 = C9xC8oD4φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).126C2^2288,181
(C2xC36).127C22 = D8xC18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).127C2^2288,182
(C2xC36).128C22 = SD16xC18φ: C22/C2C2 ⊆ Aut C2xC36144(C2xC36).128C2^2288,183
(C2xC36).129C22 = Q16xC18φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).129C2^2288,184
(C2xC36).130C22 = C9xC4oD8φ: C22/C2C2 ⊆ Aut C2xC361442(C2xC36).130C2^2288,185
(C2xC36).131C22 = Q8xC2xC18φ: C22/C2C2 ⊆ Aut C2xC36288(C2xC36).131C2^2288,369
(C2xC36).132C22 = C9xC8:C4central extension (φ=1)288(C2xC36).132C2^2288,47
(C2xC36).133C22 = C9xC22:C8central extension (φ=1)144(C2xC36).133C2^2288,48
(C2xC36).134C22 = C9xC4:C8central extension (φ=1)288(C2xC36).134C2^2288,55
(C2xC36).135C22 = C9xC42:C2central extension (φ=1)144(C2xC36).135C2^2288,167
(C2xC36).136C22 = M4(2)xC18central extension (φ=1)144(C2xC36).136C2^2288,180

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