# Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C22

Direct product G=N×Q with N=C2×C8 and Q=C22
dρLabelID
C23×C864C2^3xC864,246

Semidirect products G=N:Q with N=C2×C8 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1C22 = C22⋊D8φ: C22/C1C22 ⊆ Aut C2×C816(C2xC8):1C2^264,128
(C2×C8)⋊2C22 = C2×C8⋊C22φ: C22/C1C22 ⊆ Aut C2×C816(C2xC8):2C2^264,254
(C2×C8)⋊3C22 = D8⋊C22φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8):3C2^264,256
(C2×C8)⋊4C22 = D4○D8φ: C22/C1C22 ⊆ Aut C2×C8164+(C2xC8):4C2^264,257
(C2×C8)⋊5C22 = D4○SD16φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8):5C2^264,258
(C2×C8)⋊6C22 = C22⋊SD16φ: C22/C1C22 ⊆ Aut C2×C816(C2xC8):6C2^264,131
(C2×C8)⋊7C22 = C24.4C4φ: C22/C1C22 ⊆ Aut C2×C816(C2xC8):7C2^264,88
(C2×C8)⋊8C22 = C23.37D4φ: C22/C1C22 ⊆ Aut C2×C816(C2xC8):8C2^264,99
(C2×C8)⋊9C22 = Q8○M4(2)φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8):9C2^264,249
(C2×C8)⋊10C22 = C2×C22⋊C8φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):10C2^264,87
(C2×C8)⋊11C22 = C2×D4⋊C4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):11C2^264,95
(C2×C8)⋊12C22 = C22×D8φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):12C2^264,250
(C2×C8)⋊13C22 = C2×C4○D8φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):13C2^264,253
(C2×C8)⋊14C22 = C22×SD16φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):14C2^264,251
(C2×C8)⋊15C22 = C22×M4(2)φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):15C2^264,247
(C2×C8)⋊16C22 = C2×C8○D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8):16C2^264,248

Non-split extensions G=N.Q with N=C2×C8 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C8).1C22 = D4⋊D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).1C2^264,130
(C2×C8).2C22 = C22⋊Q16φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).2C2^264,132
(C2×C8).3C22 = C4⋊D8φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).3C2^264,140
(C2×C8).4C22 = C42Q16φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).4C2^264,143
(C2×C8).5C22 = D4⋊Q8φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).5C2^264,155
(C2×C8).6C22 = C4.Q16φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).6C2^264,158
(C2×C8).7C22 = C22.D8φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).7C2^264,161
(C2×C8).8C22 = C23.48D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).8C2^264,165
(C2×C8).9C22 = D82C4φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).9C2^264,41
(C2×C8).10C22 = M5(2)⋊C2φ: C22/C1C22 ⊆ Aut C2×C8164+(C2xC8).10C2^264,42
(C2×C8).11C22 = C8.17D4φ: C22/C1C22 ⊆ Aut C2×C8324-(C2xC8).11C2^264,43
(C2×C8).12C22 = C8.Q8φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).12C2^264,46
(C2×C8).13C22 = M4(2)⋊C4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).13C2^264,109
(C2×C8).14C22 = M4(2).C4φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).14C2^264,111
(C2×C8).15C22 = D8⋊C4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).15C2^264,123
(C2×C8).16C22 = C82D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).16C2^264,150
(C2×C8).17C22 = D4.3D4φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).17C2^264,152
(C2×C8).18C22 = D4.4D4φ: C22/C1C22 ⊆ Aut C2×C8164+(C2xC8).18C2^264,153
(C2×C8).19C22 = D4.5D4φ: C22/C1C22 ⊆ Aut C2×C8324-(C2xC8).19C2^264,154
(C2×C8).20C22 = C83D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).20C2^264,177
(C2×C8).21C22 = C8.2D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).21C2^264,178
(C2×C8).22C22 = C8⋊Q8φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).22C2^264,182
(C2×C8).23C22 = C16⋊C22φ: C22/C1C22 ⊆ Aut C2×C8164+(C2xC8).23C2^264,190
(C2×C8).24C22 = Q32⋊C2φ: C22/C1C22 ⊆ Aut C2×C8324-(C2xC8).24C2^264,191
(C2×C8).25C22 = C2×C8.C22φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).25C2^264,255
(C2×C8).26C22 = Q8○D8φ: C22/C1C22 ⊆ Aut C2×C8324-(C2xC8).26C2^264,259
(C2×C8).27C22 = Q8⋊D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).27C2^264,129
(C2×C8).28C22 = D4.7D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).28C2^264,133
(C2×C8).29C22 = C4⋊SD16φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).29C2^264,141
(C2×C8).30C22 = D4.D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).30C2^264,142
(C2×C8).31C22 = D4.2D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).31C2^264,144
(C2×C8).32C22 = Q8.D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).32C2^264,145
(C2×C8).33C22 = Q8⋊Q8φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).33C2^264,156
(C2×C8).34C22 = D42Q8φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).34C2^264,157
(C2×C8).35C22 = D4.Q8φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).35C2^264,159
(C2×C8).36C22 = Q8.Q8φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).36C2^264,160
(C2×C8).37C22 = C23.46D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).37C2^264,162
(C2×C8).38C22 = C23.19D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).38C2^264,163
(C2×C8).39C22 = C23.47D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).39C2^264,164
(C2×C8).40C22 = C23.20D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).40C2^264,166
(C2×C8).41C22 = C16⋊C4φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).41C2^264,28
(C2×C8).42C22 = C23.C8φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).42C2^264,30
(C2×C8).43C22 = C23.36D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).43C2^264,98
(C2×C8).44C22 = C23.38D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).44C2^264,100
(C2×C8).45C22 = C4⋊M4(2)φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).45C2^264,104
(C2×C8).46C22 = C42.6C22φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).46C2^264,105
(C2×C8).47C22 = C42.6C4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).47C2^264,113
(C2×C8).48C22 = C42.7C22φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).48C2^264,114
(C2×C8).49C22 = SD16⋊C4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).49C2^264,121
(C2×C8).50C22 = Q16⋊C4φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).50C2^264,122
(C2×C8).51C22 = C8.26D4φ: C22/C1C22 ⊆ Aut C2×C8164(C2xC8).51C2^264,125
(C2×C8).52C22 = C8⋊D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).52C2^264,149
(C2×C8).53C22 = C8.D4φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).53C2^264,151
(C2×C8).54C22 = C42.28C22φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).54C2^264,170
(C2×C8).55C22 = C42.29C22φ: C22/C1C22 ⊆ Aut C2×C832(C2xC8).55C2^264,171
(C2×C8).56C22 = C42.30C22φ: C22/C1C22 ⊆ Aut C2×C864(C2xC8).56C2^264,172
(C2×C8).57C22 = (C22×C8)⋊C2φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).57C2^264,89
(C2×C8).58C22 = C2×Q8⋊C4φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).58C2^264,96
(C2×C8).59C22 = C23.24D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).59C2^264,97
(C2×C8).60C22 = C2×C4⋊C8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).60C2^264,103
(C2×C8).61C22 = C42.12C4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).61C2^264,112
(C2×C8).62C22 = C8×D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).62C2^264,115
(C2×C8).63C22 = C4×SD16φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).63C2^264,119
(C2×C8).64C22 = C4×Q16φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).64C2^264,120
(C2×C8).65C22 = C8×Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).65C2^264,126
(C2×C8).66C22 = C4.4D8φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).66C2^264,167
(C2×C8).67C22 = C4.SD16φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).67C2^264,168
(C2×C8).68C22 = C42.78C22φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).68C2^264,169
(C2×C8).69C22 = C2.D16φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).69C2^264,38
(C2×C8).70C22 = C2.Q32φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).70C2^264,39
(C2×C8).71C22 = C163C4φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).71C2^264,47
(C2×C8).72C22 = C164C4φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).72C2^264,48
(C2×C8).73C22 = C2×C2.D8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).73C2^264,107
(C2×C8).74C22 = C23.25D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).74C2^264,108
(C2×C8).75C22 = C4×D8φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).75C2^264,118
(C2×C8).76C22 = C87D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).76C2^264,147
(C2×C8).77C22 = C8.18D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).77C2^264,148
(C2×C8).78C22 = C84D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).78C2^264,174
(C2×C8).79C22 = C4⋊Q16φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).79C2^264,175
(C2×C8).80C22 = C8.12D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).80C2^264,176
(C2×C8).81C22 = C82Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).81C2^264,181
(C2×C8).82C22 = C2×D16φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).82C2^264,186
(C2×C8).83C22 = C2×SD32φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).83C2^264,187
(C2×C8).84C22 = C2×Q32φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).84C2^264,188
(C2×C8).85C22 = C22×Q16φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).85C2^264,252
(C2×C8).86C22 = D8.C4φ: C22/C2C2 ⊆ Aut C2×C8322(C2xC8).86C2^264,40
(C2×C8).87C22 = C8.4Q8φ: C22/C2C2 ⊆ Aut C2×C8322(C2xC8).87C2^264,49
(C2×C8).88C22 = C2×C8.C4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).88C2^264,110
(C2×C8).89C22 = C4○D16φ: C22/C2C2 ⊆ Aut C2×C8322(C2xC8).89C2^264,189
(C2×C8).90C22 = C2×C4.Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).90C2^264,106
(C2×C8).91C22 = C88D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).91C2^264,146
(C2×C8).92C22 = C85D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).92C2^264,173
(C2×C8).93C22 = C83Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).93C2^264,179
(C2×C8).94C22 = C8.5Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).94C2^264,180
(C2×C8).95C22 = D4.C8φ: C22/C2C2 ⊆ Aut C2×C8322(C2xC8).95C2^264,31
(C2×C8).96C22 = C8.C8φ: C22/C2C2 ⊆ Aut C2×C8162(C2xC8).96C2^264,45
(C2×C8).97C22 = C2×C8⋊C4φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).97C2^264,84
(C2×C8).98C22 = C4×M4(2)φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).98C2^264,85
(C2×C8).99C22 = C82M4(2)φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).99C2^264,86
(C2×C8).100C22 = C89D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).100C2^264,116
(C2×C8).101C22 = C86D4φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).101C2^264,117
(C2×C8).102C22 = C8○D8φ: C22/C2C2 ⊆ Aut C2×C8162(C2xC8).102C2^264,124
(C2×C8).103C22 = C84Q8φ: C22/C2C2 ⊆ Aut C2×C864(C2xC8).103C2^264,127
(C2×C8).104C22 = C2×M5(2)φ: C22/C2C2 ⊆ Aut C2×C832(C2xC8).104C2^264,184
(C2×C8).105C22 = D4○C16φ: C22/C2C2 ⊆ Aut C2×C8322(C2xC8).105C2^264,185
(C2×C8).106C22 = C165C4central extension (φ=1)64(C2xC8).106C2^264,27
(C2×C8).107C22 = C22⋊C16central extension (φ=1)32(C2xC8).107C2^264,29
(C2×C8).108C22 = C4⋊C16central extension (φ=1)64(C2xC8).108C2^264,44

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