Extensions 1→N→G→Q→1 with N=C2×C36 and Q=C22

Direct product G=N×Q with N=C2×C36 and Q=C22
dρLabelID
C23×C36288C2^3xC36288,367

Semidirect products G=N:Q with N=C2×C36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C36)⋊1C22 = C223D36φ: C22/C1C22 ⊆ Aut C2×C3672(C2xC36):1C2^2288,92
(C2×C36)⋊2C22 = C2×D4×D9φ: C22/C1C22 ⊆ Aut C2×C3672(C2xC36):2C2^2288,356
(C2×C36)⋊3C22 = D46D18φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36):3C2^2288,358
(C2×C36)⋊4C22 = C4○D4×D9φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36):4C2^2288,362
(C2×C36)⋊5C22 = D48D18φ: C22/C1C22 ⊆ Aut C2×C36724+(C2xC36):5C2^2288,363
(C2×C36)⋊6C22 = C22⋊C4×D9φ: C22/C1C22 ⊆ Aut C2×C3672(C2xC36):6C2^2288,90
(C2×C36)⋊7C22 = C232D18φ: C22/C1C22 ⊆ Aut C2×C3672(C2xC36):7C2^2288,147
(C2×C36)⋊8C22 = C9×C22≀C2φ: C22/C1C22 ⊆ Aut C2×C3672(C2xC36):8C2^2288,170
(C2×C36)⋊9C22 = C9×2+ 1+4φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36):9C2^2288,371
(C2×C36)⋊10C22 = C2×D18⋊C4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):10C2^2288,137
(C2×C36)⋊11C22 = C22⋊C4×C18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):11C2^2288,165
(C2×C36)⋊12C22 = C22×D36φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):12C2^2288,354
(C2×C36)⋊13C22 = C2×D365C2φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):13C2^2288,355
(C2×C36)⋊14C22 = C22×C4×D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):14C2^2288,353
(C2×C36)⋊15C22 = D4×C2×C18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):15C2^2288,368
(C2×C36)⋊16C22 = C4○D4×C18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36):16C2^2288,370

Non-split extensions G=N.Q with N=C2×C36 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C36).1C22 = C222Dic18φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).1C2^2288,88
(C2×C36).2C22 = C23.8D18φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).2C2^2288,89
(C2×C36).3C22 = C23.9D18φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).3C2^2288,93
(C2×C36).4C22 = D18⋊D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).4C2^2288,94
(C2×C36).5C22 = Dic9.D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).5C2^2288,95
(C2×C36).6C22 = C22.4D36φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).6C2^2288,96
(C2×C36).7C22 = C36⋊Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).7C2^2288,98
(C2×C36).8C22 = Dic9.Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).8C2^2288,99
(C2×C36).9C22 = C36.3Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).9C2^2288,100
(C2×C36).10C22 = D18.D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).10C2^2288,104
(C2×C36).11C22 = C4⋊D36φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).11C2^2288,105
(C2×C36).12C22 = D18⋊Q8φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).12C2^2288,106
(C2×C36).13C22 = D182Q8φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).13C2^2288,107
(C2×C36).14C22 = C4⋊C4⋊D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).14C2^2288,108
(C2×C36).15C22 = C36.Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).15C2^2288,14
(C2×C36).16C22 = C4.Dic18φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).16C2^2288,15
(C2×C36).17C22 = C18.Q16φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).17C2^2288,16
(C2×C36).18C22 = C18.D8φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).18C2^2288,17
(C2×C36).19C22 = C36.53D4φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).19C2^2288,29
(C2×C36).20C22 = C4.D36φ: C22/C1C22 ⊆ Aut C2×C361444-(C2xC36).20C2^2288,30
(C2×C36).21C22 = C36.48D4φ: C22/C1C22 ⊆ Aut C2×C36724+(C2xC36).21C2^2288,31
(C2×C36).22C22 = Dic18⋊C4φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).22C2^2288,32
(C2×C36).23C22 = C36.D4φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).23C2^2288,39
(C2×C36).24C22 = D4⋊Dic9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).24C2^2288,40
(C2×C36).25C22 = C36.9D4φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).25C2^2288,42
(C2×C36).26C22 = Q82Dic9φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).26C2^2288,43
(C2×C36).27C22 = Q83Dic9φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).27C2^2288,44
(C2×C36).28C22 = C4⋊C4×D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).28C2^2288,101
(C2×C36).29C22 = M4(2)×D9φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).29C2^2288,116
(C2×C36).30C22 = D36.C4φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).30C2^2288,117
(C2×C36).31C22 = C8⋊D18φ: C22/C1C22 ⊆ Aut C2×C36724+(C2xC36).31C2^2288,118
(C2×C36).32C22 = C8.D18φ: C22/C1C22 ⊆ Aut C2×C361444-(C2xC36).32C2^2288,119
(C2×C36).33C22 = C2×D4.D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).33C2^2288,141
(C2×C36).34C22 = C2×D4⋊D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).34C2^2288,142
(C2×C36).35C22 = D366C22φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).35C2^2288,143
(C2×C36).36C22 = D4×Dic9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).36C2^2288,144
(C2×C36).37C22 = C36.17D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).37C2^2288,146
(C2×C36).38C22 = C362D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).38C2^2288,148
(C2×C36).39C22 = C36⋊D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).39C2^2288,150
(C2×C36).40C22 = C2×C9⋊Q16φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).40C2^2288,151
(C2×C36).41C22 = C2×Q82D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).41C2^2288,152
(C2×C36).42C22 = C36.C23φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).42C2^2288,153
(C2×C36).43C22 = Q8×Dic9φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).43C2^2288,155
(C2×C36).44C22 = D4.Dic9φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).44C2^2288,158
(C2×C36).45C22 = D4.D18φ: C22/C1C22 ⊆ Aut C2×C361444-(C2xC36).45C2^2288,159
(C2×C36).46C22 = D4⋊D18φ: C22/C1C22 ⊆ Aut C2×C36724+(C2xC36).46C2^2288,160
(C2×C36).47C22 = D4.9D18φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).47C2^2288,161
(C2×C36).48C22 = C2×D42D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).48C2^2288,357
(C2×C36).49C22 = C2×Q8×D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).49C2^2288,359
(C2×C36).50C22 = C2×Q83D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).50C2^2288,360
(C2×C36).51C22 = Q8.15D18φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).51C2^2288,361
(C2×C36).52C22 = D4.10D18φ: C22/C1C22 ⊆ Aut C2×C361444-(C2xC36).52C2^2288,364
(C2×C36).53C22 = C23.16D18φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).53C2^2288,87
(C2×C36).54C22 = Dic94D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).54C2^2288,91
(C2×C36).55C22 = Dic93Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).55C2^2288,97
(C2×C36).56C22 = C4⋊C47D9φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).56C2^2288,102
(C2×C36).57C22 = D36⋊C4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).57C2^2288,103
(C2×C36).58C22 = C9×C4.D4φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).58C2^2288,50
(C2×C36).59C22 = C9×C4.10D4φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).59C2^2288,51
(C2×C36).60C22 = C23.23D18φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).60C2^2288,145
(C2×C36).61C22 = Dic9⋊D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).61C2^2288,149
(C2×C36).62C22 = Dic9⋊Q8φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).62C2^2288,154
(C2×C36).63C22 = D183Q8φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).63C2^2288,156
(C2×C36).64C22 = C36.23D4φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).64C2^2288,157
(C2×C36).65C22 = C9×C42.C2φ: C22/C1C22 ⊆ Aut C2×C36288(C2xC36).65C2^2288,175
(C2×C36).66C22 = C9×C422C2φ: C22/C1C22 ⊆ Aut C2×C36144(C2xC36).66C2^2288,176
(C2×C36).67C22 = C9×C8⋊C22φ: C22/C1C22 ⊆ Aut C2×C36724(C2xC36).67C2^2288,186
(C2×C36).68C22 = C9×C8.C22φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).68C2^2288,187
(C2×C36).69C22 = C9×2- 1+4φ: C22/C1C22 ⊆ Aut C2×C361444(C2xC36).69C2^2288,372
(C2×C36).70C22 = C4×Dic18φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).70C2^2288,78
(C2×C36).71C22 = C422D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).71C2^2288,82
(C2×C36).72C22 = C4×D36φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).72C2^2288,83
(C2×C36).73C22 = C423D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).73C2^2288,86
(C2×C36).74C22 = C2×Dic9⋊C4φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).74C2^2288,133
(C2×C36).75C22 = C36.49D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).75C2^2288,134
(C2×C36).76C22 = C4×C9⋊D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).76C2^2288,138
(C2×C36).77C22 = C23.28D18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).77C2^2288,139
(C2×C36).78C22 = C367D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).78C2^2288,140
(C2×C36).79C22 = C9×C22.D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).79C2^2288,173
(C2×C36).80C22 = C9×C4.4D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).80C2^2288,174
(C2×C36).81C22 = C36.45D4φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).81C2^2288,24
(C2×C36).82C22 = C8⋊Dic9φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).82C2^2288,25
(C2×C36).83C22 = C721C4φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).83C2^2288,26
(C2×C36).84C22 = C2.D72φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).84C2^2288,28
(C2×C36).85C22 = C362Q8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).85C2^2288,79
(C2×C36).86C22 = C36.6Q8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).86C2^2288,80
(C2×C36).87C22 = C426D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).87C2^2288,84
(C2×C36).88C22 = C427D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).88C2^2288,85
(C2×C36).89C22 = C2×Dic36φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).89C2^2288,109
(C2×C36).90C22 = C2×C72⋊C2φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).90C2^2288,113
(C2×C36).91C22 = C2×D72φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).91C2^2288,114
(C2×C36).92C22 = C2×C4⋊Dic9φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).92C2^2288,135
(C2×C36).93C22 = C22×Dic18φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).93C2^2288,352
(C2×C36).94C22 = C424D9φ: C22/C2C2 ⊆ Aut C2×C36722(C2xC36).94C2^2288,12
(C2×C36).95C22 = C72.C4φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).95C2^2288,20
(C2×C36).96C22 = D36.2C4φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).96C2^2288,112
(C2×C36).97C22 = D727C2φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).97C2^2288,115
(C2×C36).98C22 = C2×C4.Dic9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).98C2^2288,131
(C2×C36).99C22 = C4×C9⋊C8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).99C2^2288,9
(C2×C36).100C22 = C42.D9φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).100C2^2288,10
(C2×C36).101C22 = C36⋊C8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).101C2^2288,11
(C2×C36).102C22 = C8×Dic9φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).102C2^2288,21
(C2×C36).103C22 = Dic9⋊C8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).103C2^2288,22
(C2×C36).104C22 = C72⋊C4φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).104C2^2288,23
(C2×C36).105C22 = D18⋊C8φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).105C2^2288,27
(C2×C36).106C22 = C36.55D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).106C2^2288,37
(C2×C36).107C22 = C42×D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).107C2^2288,81
(C2×C36).108C22 = C2×C8×D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).108C2^2288,110
(C2×C36).109C22 = C2×C8⋊D9φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).109C2^2288,111
(C2×C36).110C22 = C22×C9⋊C8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).110C2^2288,130
(C2×C36).111C22 = C2×C4×Dic9φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).111C2^2288,132
(C2×C36).112C22 = C23.26D18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).112C2^2288,136
(C2×C36).113C22 = C9×D4⋊C4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).113C2^2288,52
(C2×C36).114C22 = C9×Q8⋊C4φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).114C2^2288,53
(C2×C36).115C22 = C9×C4≀C2φ: C22/C2C2 ⊆ Aut C2×C36722(C2xC36).115C2^2288,54
(C2×C36).116C22 = C9×C4.Q8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).116C2^2288,56
(C2×C36).117C22 = C9×C2.D8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).117C2^2288,57
(C2×C36).118C22 = C9×C8.C4φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).118C2^2288,58
(C2×C36).119C22 = C4⋊C4×C18φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).119C2^2288,166
(C2×C36).120C22 = D4×C36φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).120C2^2288,168
(C2×C36).121C22 = Q8×C36φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).121C2^2288,169
(C2×C36).122C22 = C9×C4⋊D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).122C2^2288,171
(C2×C36).123C22 = C9×C22⋊Q8φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).123C2^2288,172
(C2×C36).124C22 = C9×C41D4φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).124C2^2288,177
(C2×C36).125C22 = C9×C4⋊Q8φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).125C2^2288,178
(C2×C36).126C22 = C9×C8○D4φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).126C2^2288,181
(C2×C36).127C22 = D8×C18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).127C2^2288,182
(C2×C36).128C22 = SD16×C18φ: C22/C2C2 ⊆ Aut C2×C36144(C2xC36).128C2^2288,183
(C2×C36).129C22 = Q16×C18φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).129C2^2288,184
(C2×C36).130C22 = C9×C4○D8φ: C22/C2C2 ⊆ Aut C2×C361442(C2xC36).130C2^2288,185
(C2×C36).131C22 = Q8×C2×C18φ: C22/C2C2 ⊆ Aut C2×C36288(C2xC36).131C2^2288,369
(C2×C36).132C22 = C9×C8⋊C4central extension (φ=1)288(C2xC36).132C2^2288,47
(C2×C36).133C22 = C9×C22⋊C8central extension (φ=1)144(C2xC36).133C2^2288,48
(C2×C36).134C22 = C9×C4⋊C8central extension (φ=1)288(C2xC36).134C2^2288,55
(C2×C36).135C22 = C9×C42⋊C2central extension (φ=1)144(C2xC36).135C2^2288,167
(C2×C36).136C22 = M4(2)×C18central extension (φ=1)144(C2xC36).136C2^2288,180

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