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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D26

Direct product G=N×Q with N=C2×C4 and Q=D26
dρLabelID
C22×C4×D13208C2^2xC4xD13416,213

Semidirect products G=N:Q with N=C2×C4 and Q=D26
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D26 = C22⋊D52φ: D26/C13 → C22 ⊆ Aut C2×C4104(C2xC4):1D26416,103
(C2×C4)⋊2D26 = C23⋊D26φ: D26/C13 → C22 ⊆ Aut C2×C4104(C2xC4):2D26416,158
(C2×C4)⋊3D26 = D4⋊6D26φ: D26/C13 → C22 ⊆ Aut C2×C41044(C2xC4):3D26416,218
(C2×C4)⋊4D26 = D4⋊8D26φ: D26/C13 → C22 ⊆ Aut C2×C41044+(C2xC4):4D26416,223
(C2×C4)⋊5D26 = C22⋊C4×D13φ: D26/D13 → C2 ⊆ Aut C2×C4104(C2xC4):5D26416,101
(C2×C4)⋊6D26 = C2×D4×D13φ: D26/D13 → C2 ⊆ Aut C2×C4104(C2xC4):6D26416,216
(C2×C4)⋊7D26 = C4○D4×D13φ: D26/D13 → C2 ⊆ Aut C2×C41044(C2xC4):7D26416,222
(C2×C4)⋊8D26 = C2×D26⋊C4φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4):8D26416,148
(C2×C4)⋊9D26 = C22×D52φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4):9D26416,214
(C2×C4)⋊10D26 = C2×D52⋊5C2φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4):10D26416,215

Non-split extensions G=N.Q with N=C2×C4 and Q=D26
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D26 = C52.46D4φ: D26/C13 → C22 ⊆ Aut C2×C41044+(C2xC4).1D26416,30
(C2×C4).2D26 = C4.12D52φ: D26/C13 → C22 ⊆ Aut C2×C42084-(C2xC4).2D26416,31
(C2×C4).3D26 = C52.D4φ: D26/C13 → C22 ⊆ Aut C2×C41044(C2xC4).3D26416,40
(C2×C4).4D26 = C52.10D4φ: D26/C13 → C22 ⊆ Aut C2×C42084(C2xC4).4D26416,43
(C2×C4).5D26 = C22⋊Dic26φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).5D26416,99
(C2×C4).6D26 = D26.12D4φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).6D26416,104
(C2×C4).7D26 = D26⋊D4φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).7D26416,105
(C2×C4).8D26 = C23.6D26φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).8D26416,106
(C2×C4).9D26 = C22.D52φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).9D26416,107
(C2×C4).10D26 = Dic13.Q8φ: D26/C13 → C22 ⊆ Aut C2×C4416(C2xC4).10D26416,110
(C2×C4).11D26 = D26.13D4φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).11D26416,115
(C2×C4).12D26 = C4⋊2D52φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).12D26416,116
(C2×C4).13D26 = D26⋊Q8φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).13D26416,117
(C2×C4).14D26 = D26⋊2Q8φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).14D26416,118
(C2×C4).15D26 = C8⋊D26φ: D26/C13 → C22 ⊆ Aut C2×C41044+(C2xC4).15D26416,129
(C2×C4).16D26 = C8.D26φ: D26/C13 → C22 ⊆ Aut C2×C42084-(C2xC4).16D26416,130
(C2×C4).17D26 = D52⋊6C22φ: D26/C13 → C22 ⊆ Aut C2×C41044(C2xC4).17D26416,153
(C2×C4).18D26 = C23.18D26φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).18D26416,156
(C2×C4).19D26 = Dic13⋊D4φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).19D26416,160
(C2×C4).20D26 = Q8.D26φ: D26/C13 → C22 ⊆ Aut C2×C42084(C2xC4).20D26416,163
(C2×C4).21D26 = D26⋊3Q8φ: D26/C13 → C22 ⊆ Aut C2×C4208(C2xC4).21D26416,167
(C2×C4).22D26 = D4⋊D26φ: D26/C13 → C22 ⊆ Aut C2×C41044+(C2xC4).22D26416,170
(C2×C4).23D26 = D4.9D26φ: D26/C13 → C22 ⊆ Aut C2×C42084-(C2xC4).23D26416,172
(C2×C4).24D26 = Q8.10D26φ: D26/C13 → C22 ⊆ Aut C2×C42084(C2xC4).24D26416,221
(C2×C4).25D26 = D4.10D26φ: D26/C13 → C22 ⊆ Aut C2×C42084-(C2xC4).25D26416,224
(C2×C4).26D26 = C23.11D26φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).26D26416,98
(C2×C4).27D26 = C23.D26φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).27D26416,100
(C2×C4).28D26 = Dic13⋊4D4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).28D26416,102
(C2×C4).29D26 = Dic13⋊3Q8φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).29D26416,108
(C2×C4).30D26 = C4⋊C4×D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).30D26416,112
(C2×C4).31D26 = D52⋊8C4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).31D26416,114
(C2×C4).32D26 = C4⋊C4⋊D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).32D26416,119
(C2×C4).33D26 = C26.D8φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).33D26416,14
(C2×C4).34D26 = C52.Q8φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).34D26416,15
(C2×C4).35D26 = D52⋊6C4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).35D26416,16
(C2×C4).36D26 = C26.Q16φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).36D26416,17
(C2×C4).37D26 = C52.53D4φ: D26/D13 → C2 ⊆ Aut C2×C42084(C2xC4).37D26416,29
(C2×C4).38D26 = D52⋊7C4φ: D26/D13 → C2 ⊆ Aut C2×C41044(C2xC4).38D26416,32
(C2×C4).39D26 = D4⋊Dic13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).39D26416,39
(C2×C4).40D26 = Q8⋊Dic13φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).40D26416,42
(C2×C4).41D26 = C52.56D4φ: D26/D13 → C2 ⊆ Aut C2×C41044(C2xC4).41D26416,44
(C2×C4).42D26 = C52⋊Q8φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).42D26416,109
(C2×C4).43D26 = C4.Dic26φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).43D26416,111
(C2×C4).44D26 = C4⋊C4⋊7D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).44D26416,113
(C2×C4).45D26 = M4(2)×D13φ: D26/D13 → C2 ⊆ Aut C2×C41044(C2xC4).45D26416,127
(C2×C4).46D26 = D52.2C4φ: D26/D13 → C2 ⊆ Aut C2×C42084(C2xC4).46D26416,128
(C2×C4).47D26 = C2×D4⋊D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).47D26416,152
(C2×C4).48D26 = C2×D4.D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).48D26416,154
(C2×C4).49D26 = D4×Dic13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).49D26416,155
(C2×C4).50D26 = C52.17D4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).50D26416,157
(C2×C4).51D26 = C52⋊2D4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).51D26416,159
(C2×C4).52D26 = C52⋊D4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).52D26416,161
(C2×C4).53D26 = C2×Q8⋊D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).53D26416,162
(C2×C4).54D26 = C2×C13⋊Q16φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).54D26416,164
(C2×C4).55D26 = Dic13⋊Q8φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).55D26416,165
(C2×C4).56D26 = Q8×Dic13φ: D26/D13 → C2 ⊆ Aut C2×C4416(C2xC4).56D26416,166
(C2×C4).57D26 = C52.23D4φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).57D26416,168
(C2×C4).58D26 = D4.Dic13φ: D26/D13 → C2 ⊆ Aut C2×C42084(C2xC4).58D26416,169
(C2×C4).59D26 = C52.C23φ: D26/D13 → C2 ⊆ Aut C2×C42084(C2xC4).59D26416,171
(C2×C4).60D26 = C2×D4⋊2D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).60D26416,217
(C2×C4).61D26 = C2×Q8×D13φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).61D26416,219
(C2×C4).62D26 = C2×D52⋊C2φ: D26/D13 → C2 ⊆ Aut C2×C4208(C2xC4).62D26416,220
(C2×C4).63D26 = C42⋊2D13φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).63D26416,97
(C2×C4).64D26 = C2×C26.D4φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).64D26416,144
(C2×C4).65D26 = C23.23D26φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).65D26416,150
(C2×C4).66D26 = D52⋊4C4φ: D26/C26 → C2 ⊆ Aut C2×C41042(C2xC4).66D26416,12
(C2×C4).67D26 = C52.44D4φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).67D26416,23
(C2×C4).68D26 = C104⋊6C4φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).68D26416,24
(C2×C4).69D26 = C104⋊5C4φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).69D26416,25
(C2×C4).70D26 = C104.6C4φ: D26/C26 → C2 ⊆ Aut C2×C42082(C2xC4).70D26416,26
(C2×C4).71D26 = D52⋊5C4φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).71D26416,28
(C2×C4).72D26 = C4×Dic26φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).72D26416,89
(C2×C4).73D26 = C52⋊2Q8φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).73D26416,90
(C2×C4).74D26 = C52.6Q8φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).74D26416,91
(C2×C4).75D26 = C4×D52φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).75D26416,94
(C2×C4).76D26 = C4⋊D52φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).76D26416,95
(C2×C4).77D26 = C4.D52φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).77D26416,96
(C2×C4).78D26 = D52.3C4φ: D26/C26 → C2 ⊆ Aut C2×C42082(C2xC4).78D26416,122
(C2×C4).79D26 = C2×C104⋊C2φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).79D26416,123
(C2×C4).80D26 = C2×D104φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).80D26416,124
(C2×C4).81D26 = D104⋊7C2φ: D26/C26 → C2 ⊆ Aut C2×C42082(C2xC4).81D26416,125
(C2×C4).82D26 = C2×Dic52φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).82D26416,126
(C2×C4).83D26 = C52.48D4φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).83D26416,145
(C2×C4).84D26 = C2×C52⋊3C4φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).84D26416,146
(C2×C4).85D26 = C52⋊7D4φ: D26/C26 → C2 ⊆ Aut C2×C4208(C2xC4).85D26416,151
(C2×C4).86D26 = C22×Dic26φ: D26/C26 → C2 ⊆ Aut C2×C4416(C2xC4).86D26416,212
(C2×C4).87D26 = C4×C13⋊2C8central extension (φ=1)416(C2xC4).87D26416,9
(C2×C4).88D26 = C26.7C42central extension (φ=1)416(C2xC4).88D26416,10
(C2×C4).89D26 = C52⋊3C8central extension (φ=1)416(C2xC4).89D26416,11
(C2×C4).90D26 = C8×Dic13central extension (φ=1)416(C2xC4).90D26416,20
(C2×C4).91D26 = C52.8Q8central extension (φ=1)416(C2xC4).91D26416,21
(C2×C4).92D26 = C104⋊8C4central extension (φ=1)416(C2xC4).92D26416,22
(C2×C4).93D26 = D26⋊1C8central extension (φ=1)208(C2xC4).93D26416,27
(C2×C4).94D26 = C52.55D4central extension (φ=1)208(C2xC4).94D26416,37
(C2×C4).95D26 = C42×D13central extension (φ=1)208(C2xC4).95D26416,92
(C2×C4).96D26 = C42⋊D13central extension (φ=1)208(C2xC4).96D26416,93
(C2×C4).97D26 = C2×C8×D13central extension (φ=1)208(C2xC4).97D26416,120
(C2×C4).98D26 = C2×C8⋊D13central extension (φ=1)208(C2xC4).98D26416,121
(C2×C4).99D26 = C22×C13⋊2C8central extension (φ=1)416(C2xC4).99D26416,141
(C2×C4).100D26 = C2×C52.4C4central extension (φ=1)208(C2xC4).100D26416,142
(C2×C4).101D26 = C2×C4×Dic13central extension (φ=1)416(C2xC4).101D26416,143
(C2×C4).102D26 = C23.21D26central extension (φ=1)208(C2xC4).102D26416,147
(C2×C4).103D26 = C4×C13⋊D4central extension (φ=1)208(C2xC4).103D26416,149

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