# Extensions 1→N→G→Q→1 with N=C2×C44 and Q=C22

Direct product G=N×Q with N=C2×C44 and Q=C22
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C2×C44 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C44)⋊1C22 = C22⋊D44φ: C22/C1C22 ⊆ Aut C2×C4488(C2xC44):1C2^2352,77
(C2×C44)⋊2C22 = C2×D4×D11φ: C22/C1C22 ⊆ Aut C2×C4488(C2xC44):2C2^2352,177
(C2×C44)⋊3C22 = D46D22φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44):3C2^2352,179
(C2×C44)⋊4C22 = C4○D4×D11φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44):4C2^2352,183
(C2×C44)⋊5C22 = D48D22φ: C22/C1C22 ⊆ Aut C2×C44884+(C2xC44):5C2^2352,184
(C2×C44)⋊6C22 = C22⋊C4×D11φ: C22/C1C22 ⊆ Aut C2×C4488(C2xC44):6C2^2352,75
(C2×C44)⋊7C22 = C23⋊D22φ: C22/C1C22 ⊆ Aut C2×C4488(C2xC44):7C2^2352,132
(C2×C44)⋊8C22 = C11×C22≀C2φ: C22/C1C22 ⊆ Aut C2×C4488(C2xC44):8C2^2352,155
(C2×C44)⋊9C22 = C11×2+ 1+4φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44):9C2^2352,192
(C2×C44)⋊10C22 = C2×D22⋊C4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):10C2^2352,122
(C2×C44)⋊11C22 = C22⋊C4×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):11C2^2352,150
(C2×C44)⋊12C22 = C22×D44φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):12C2^2352,175
(C2×C44)⋊13C22 = C2×D445C2φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):13C2^2352,176
(C2×C44)⋊14C22 = C22×C4×D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):14C2^2352,174
(C2×C44)⋊15C22 = D4×C2×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):15C2^2352,189
(C2×C44)⋊16C22 = C4○D4×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44):16C2^2352,191

Non-split extensions G=N.Q with N=C2×C44 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C44).1C22 = C22⋊Dic22φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).1C2^2352,73
(C2×C44).2C22 = C23.D22φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).2C2^2352,74
(C2×C44).3C22 = C22.D44φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).3C2^2352,81
(C2×C44).4C22 = C44⋊Q8φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).4C2^2352,83
(C2×C44).5C22 = C42D44φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).5C2^2352,90
(C2×C44).6C22 = D222Q8φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).6C2^2352,92
(C2×C44).7C22 = C4⋊C4⋊D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).7C2^2352,93
(C2×C44).8C22 = C44.Q8φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).8C2^2352,13
(C2×C44).9C22 = C4.Dic22φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).9C2^2352,14
(C2×C44).10C22 = C22.D8φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).10C2^2352,15
(C2×C44).11C22 = C22.Q16φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).11C2^2352,16
(C2×C44).12C22 = C44.53D4φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).12C2^2352,28
(C2×C44).13C22 = C44.46D4φ: C22/C1C22 ⊆ Aut C2×C44884+(C2xC44).13C2^2352,29
(C2×C44).14C22 = C44.47D4φ: C22/C1C22 ⊆ Aut C2×C441764-(C2xC44).14C2^2352,30
(C2×C44).15C22 = D444C4φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).15C2^2352,31
(C2×C44).16C22 = D4⋊Dic11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).16C2^2352,38
(C2×C44).17C22 = C44.D4φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).17C2^2352,39
(C2×C44).18C22 = Q8⋊Dic11φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).18C2^2352,41
(C2×C44).19C22 = C44.10D4φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).19C2^2352,42
(C2×C44).20C22 = C44.56D4φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).20C2^2352,43
(C2×C44).21C22 = Dic22⋊C4φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).21C2^2352,82
(C2×C44).22C22 = C44.3Q8φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).22C2^2352,85
(C2×C44).23C22 = C4⋊C4×D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).23C2^2352,86
(C2×C44).24C22 = D44⋊C4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).24C2^2352,88
(C2×C44).25C22 = M4(2)×D11φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).25C2^2352,101
(C2×C44).26C22 = D44.C4φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).26C2^2352,102
(C2×C44).27C22 = C8⋊D22φ: C22/C1C22 ⊆ Aut C2×C44884+(C2xC44).27C2^2352,103
(C2×C44).28C22 = C8.D22φ: C22/C1C22 ⊆ Aut C2×C441764-(C2xC44).28C2^2352,104
(C2×C44).29C22 = C2×D4⋊D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).29C2^2352,126
(C2×C44).30C22 = D446C22φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).30C2^2352,127
(C2×C44).31C22 = C2×D4.D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).31C2^2352,128
(C2×C44).32C22 = D4×Dic11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).32C2^2352,129
(C2×C44).33C22 = C44.17D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).33C2^2352,131
(C2×C44).34C22 = C442D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).34C2^2352,133
(C2×C44).35C22 = C44⋊D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).35C2^2352,135
(C2×C44).36C22 = C2×Q8⋊D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).36C2^2352,136
(C2×C44).37C22 = C44.C23φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).37C2^2352,137
(C2×C44).38C22 = C2×C11⋊Q16φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).38C2^2352,138
(C2×C44).39C22 = Q8×Dic11φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).39C2^2352,140
(C2×C44).40C22 = C44.23D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).40C2^2352,142
(C2×C44).41C22 = Q8.Dic11φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).41C2^2352,143
(C2×C44).42C22 = Q8⋊D22φ: C22/C1C22 ⊆ Aut C2×C44884+(C2xC44).42C2^2352,144
(C2×C44).43C22 = D4.8D22φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).43C2^2352,145
(C2×C44).44C22 = D4.9D22φ: C22/C1C22 ⊆ Aut C2×C441764-(C2xC44).44C2^2352,146
(C2×C44).45C22 = C2×D42D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).45C2^2352,178
(C2×C44).46C22 = C2×Q8×D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).46C2^2352,180
(C2×C44).47C22 = C2×D44⋊C2φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).47C2^2352,181
(C2×C44).48C22 = Q8.10D22φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).48C2^2352,182
(C2×C44).49C22 = D4.10D22φ: C22/C1C22 ⊆ Aut C2×C441764-(C2xC44).49C2^2352,185
(C2×C44).50C22 = C23.11D22φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).50C2^2352,72
(C2×C44).51C22 = Dic114D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).51C2^2352,76
(C2×C44).52C22 = D22.D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).52C2^2352,78
(C2×C44).53C22 = D22⋊D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).53C2^2352,79
(C2×C44).54C22 = Dic11.D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).54C2^2352,80
(C2×C44).55C22 = Dic11.Q8φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).55C2^2352,84
(C2×C44).56C22 = C4⋊C47D11φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).56C2^2352,87
(C2×C44).57C22 = D22.5D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).57C2^2352,89
(C2×C44).58C22 = D22⋊Q8φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).58C2^2352,91
(C2×C44).59C22 = C11×C4.D4φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).59C2^2352,49
(C2×C44).60C22 = C11×C4.10D4φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).60C2^2352,50
(C2×C44).61C22 = C23.18D22φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).61C2^2352,130
(C2×C44).62C22 = Dic11⋊D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).62C2^2352,134
(C2×C44).63C22 = Dic11⋊Q8φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).63C2^2352,139
(C2×C44).64C22 = D223Q8φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).64C2^2352,141
(C2×C44).65C22 = C11×C22.D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).65C2^2352,158
(C2×C44).66C22 = C11×C4.4D4φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).66C2^2352,159
(C2×C44).67C22 = C11×C42.C2φ: C22/C1C22 ⊆ Aut C2×C44352(C2xC44).67C2^2352,160
(C2×C44).68C22 = C11×C422C2φ: C22/C1C22 ⊆ Aut C2×C44176(C2xC44).68C2^2352,161
(C2×C44).69C22 = C11×C8⋊C22φ: C22/C1C22 ⊆ Aut C2×C44884(C2xC44).69C2^2352,171
(C2×C44).70C22 = C11×C8.C22φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).70C2^2352,172
(C2×C44).71C22 = C11×2- 1+4φ: C22/C1C22 ⊆ Aut C2×C441764(C2xC44).71C2^2352,193
(C2×C44).72C22 = C44.6Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).72C2^2352,65
(C2×C44).73C22 = C42⋊D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).73C2^2352,67
(C2×C44).74C22 = C4.D44φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).74C2^2352,70
(C2×C44).75C22 = C422D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).75C2^2352,71
(C2×C44).76C22 = C2×Dic11⋊C4φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).76C2^2352,118
(C2×C44).77C22 = C4×C11⋊D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).77C2^2352,123
(C2×C44).78C22 = C23.23D22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).78C2^2352,124
(C2×C44).79C22 = C11×C42⋊C2φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).79C2^2352,152
(C2×C44).80C22 = C44.44D4φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).80C2^2352,22
(C2×C44).81C22 = C44.4Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).81C2^2352,23
(C2×C44).82C22 = C44.5Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).82C2^2352,24
(C2×C44).83C22 = C2.D88φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).83C2^2352,27
(C2×C44).84C22 = C4×Dic22φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).84C2^2352,63
(C2×C44).85C22 = C442Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).85C2^2352,64
(C2×C44).86C22 = C4×D44φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).86C2^2352,68
(C2×C44).87C22 = C4⋊D44φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).87C2^2352,69
(C2×C44).88C22 = C2×C8⋊D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).88C2^2352,97
(C2×C44).89C22 = C2×D88φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).89C2^2352,98
(C2×C44).90C22 = C2×Dic44φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).90C2^2352,100
(C2×C44).91C22 = C44.48D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).91C2^2352,119
(C2×C44).92C22 = C2×C44⋊C4φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).92C2^2352,120
(C2×C44).93C22 = C23.21D22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).93C2^2352,121
(C2×C44).94C22 = C447D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).94C2^2352,125
(C2×C44).95C22 = C22×Dic22φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).95C2^2352,173
(C2×C44).96C22 = D441C4φ: C22/C2C2 ⊆ Aut C2×C44882(C2xC44).96C2^2352,11
(C2×C44).97C22 = C88.C4φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).97C2^2352,25
(C2×C44).98C22 = D44.2C4φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).98C2^2352,96
(C2×C44).99C22 = D887C2φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).99C2^2352,99
(C2×C44).100C22 = C2×C44.C4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).100C2^2352,116
(C2×C44).101C22 = C4×C11⋊C8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).101C2^2352,8
(C2×C44).102C22 = C42.D11φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).102C2^2352,9
(C2×C44).103C22 = C44⋊C8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).103C2^2352,10
(C2×C44).104C22 = C8×Dic11φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).104C2^2352,19
(C2×C44).105C22 = Dic11⋊C8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).105C2^2352,20
(C2×C44).106C22 = C88⋊C4φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).106C2^2352,21
(C2×C44).107C22 = D22⋊C8φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).107C2^2352,26
(C2×C44).108C22 = C44.55D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).108C2^2352,36
(C2×C44).109C22 = C42×D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).109C2^2352,66
(C2×C44).110C22 = C2×C8×D11φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).110C2^2352,94
(C2×C44).111C22 = C2×C88⋊C2φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).111C2^2352,95
(C2×C44).112C22 = C22×C11⋊C8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).112C2^2352,115
(C2×C44).113C22 = C2×C4×Dic11φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).113C2^2352,117
(C2×C44).114C22 = C11×D4⋊C4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).114C2^2352,51
(C2×C44).115C22 = C11×Q8⋊C4φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).115C2^2352,52
(C2×C44).116C22 = C11×C4≀C2φ: C22/C2C2 ⊆ Aut C2×C44882(C2xC44).116C2^2352,53
(C2×C44).117C22 = C11×C4.Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).117C2^2352,55
(C2×C44).118C22 = C11×C2.D8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).118C2^2352,56
(C2×C44).119C22 = C11×C8.C4φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).119C2^2352,57
(C2×C44).120C22 = C4⋊C4×C22φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).120C2^2352,151
(C2×C44).121C22 = D4×C44φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).121C2^2352,153
(C2×C44).122C22 = Q8×C44φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).122C2^2352,154
(C2×C44).123C22 = C11×C4⋊D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).123C2^2352,156
(C2×C44).124C22 = C11×C22⋊Q8φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).124C2^2352,157
(C2×C44).125C22 = C11×C41D4φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).125C2^2352,162
(C2×C44).126C22 = C11×C4⋊Q8φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).126C2^2352,163
(C2×C44).127C22 = M4(2)×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).127C2^2352,165
(C2×C44).128C22 = C11×C8○D4φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).128C2^2352,166
(C2×C44).129C22 = D8×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).129C2^2352,167
(C2×C44).130C22 = SD16×C22φ: C22/C2C2 ⊆ Aut C2×C44176(C2xC44).130C2^2352,168
(C2×C44).131C22 = Q16×C22φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).131C2^2352,169
(C2×C44).132C22 = C11×C4○D8φ: C22/C2C2 ⊆ Aut C2×C441762(C2xC44).132C2^2352,170
(C2×C44).133C22 = Q8×C2×C22φ: C22/C2C2 ⊆ Aut C2×C44352(C2xC44).133C2^2352,190
(C2×C44).134C22 = C11×C8⋊C4central extension (φ=1)352(C2xC44).134C2^2352,46
(C2×C44).135C22 = C11×C22⋊C8central extension (φ=1)176(C2xC44).135C2^2352,47
(C2×C44).136C22 = C11×C4⋊C8central extension (φ=1)352(C2xC44).136C2^2352,54

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𝔽