# Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D4

Direct product G=N×Q with N=C2×C4 and Q=D4
dρLabelID
C2×C4×D432C2xC4xD464,196

Semidirect products G=N:Q with N=C2×C4 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊D4 = C2≀C22φ: D4/C1D4 ⊆ Aut C2×C484+(C2xC4):D464,138
(C2×C4)⋊2D4 = C232D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4):2D464,73
(C2×C4)⋊3D4 = C23.10D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4):3D464,75
(C2×C4)⋊4D4 = C22.29C24φ: D4/C2C22 ⊆ Aut C2×C416(C2xC4):4D464,216
(C2×C4)⋊5D4 = C22.31C24φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4):5D464,218
(C2×C4)⋊6D4 = C24.3C22φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4):6D464,71
(C2×C4)⋊7D4 = C2×C41D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4):7D464,211
(C2×C4)⋊8D4 = C22.26C24φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4):8D464,213
(C2×C4)⋊9D4 = C23.23D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4):9D464,67
(C2×C4)⋊10D4 = C2×C4⋊D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4):10D464,203
(C2×C4)⋊11D4 = C22.19C24φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4):11D464,206

Non-split extensions G=N.Q with N=C2×C4 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D4 = C2≀C4φ: D4/C1D4 ⊆ Aut C2×C484+(C2xC4).1D464,32
(C2×C4).2D4 = C23.D4φ: D4/C1D4 ⊆ Aut C2×C4164(C2xC4).2D464,33
(C2×C4).3D4 = C42.C4φ: D4/C1D4 ⊆ Aut C2×C4164(C2xC4).3D464,36
(C2×C4).4D4 = C42.3C4φ: D4/C1D4 ⊆ Aut C2×C4164-(C2xC4).4D464,37
(C2×C4).5D4 = D4.8D4φ: D4/C1D4 ⊆ Aut C2×C4164(C2xC4).5D464,135
(C2×C4).6D4 = D4.10D4φ: D4/C1D4 ⊆ Aut C2×C4164-(C2xC4).6D464,137
(C2×C4).7D4 = C23.7D4φ: D4/C1D4 ⊆ Aut C2×C4164(C2xC4).7D464,139
(C2×C4).8D4 = C4.9C42φ: D4/C2C22 ⊆ Aut C2×C4164(C2xC4).8D464,18
(C2×C4).9D4 = C4.10C42φ: D4/C2C22 ⊆ Aut C2×C4164(C2xC4).9D464,19
(C2×C4).10D4 = D82C4φ: D4/C2C22 ⊆ Aut C2×C4164(C2xC4).10D464,41
(C2×C4).11D4 = M5(2)⋊C2φ: D4/C2C22 ⊆ Aut C2×C4164+(C2xC4).11D464,42
(C2×C4).12D4 = C8.17D4φ: D4/C2C22 ⊆ Aut C2×C4324-(C2xC4).12D464,43
(C2×C4).13D4 = C8.Q8φ: D4/C2C22 ⊆ Aut C2×C4164(C2xC4).13D464,46
(C2×C4).14D4 = C23⋊Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).14D464,74
(C2×C4).15D4 = C23.78C23φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).15D464,76
(C2×C4).16D4 = C23.Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).16D464,77
(C2×C4).17D4 = C23.11D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).17D464,78
(C2×C4).18D4 = C23.81C23φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).18D464,79
(C2×C4).19D4 = C23.4Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).19D464,80
(C2×C4).20D4 = C23.83C23φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).20D464,81
(C2×C4).21D4 = C42⋊C22φ: D4/C2C22 ⊆ Aut C2×C4164(C2xC4).21D464,102
(C2×C4).22D4 = C22⋊D8φ: D4/C2C22 ⊆ Aut C2×C416(C2xC4).22D464,128
(C2×C4).23D4 = Q8⋊D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).23D464,129
(C2×C4).24D4 = C22⋊SD16φ: D4/C2C22 ⊆ Aut C2×C416(C2xC4).24D464,131
(C2×C4).25D4 = C22⋊Q16φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).25D464,132
(C2×C4).26D4 = C4⋊D8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).26D464,140
(C2×C4).27D4 = C42Q16φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).27D464,143
(C2×C4).28D4 = D4.2D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).28D464,144
(C2×C4).29D4 = Q8.D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).29D464,145
(C2×C4).30D4 = C8⋊D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).30D464,149
(C2×C4).31D4 = C82D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).31D464,150
(C2×C4).32D4 = C8.D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).32D464,151
(C2×C4).33D4 = D4⋊Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).33D464,155
(C2×C4).34D4 = D42Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).34D464,157
(C2×C4).35D4 = D4.Q8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).35D464,159
(C2×C4).36D4 = Q8.Q8φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).36D464,160
(C2×C4).37D4 = C22.D8φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).37D464,161
(C2×C4).38D4 = C23.46D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).38D464,162
(C2×C4).39D4 = C23.47D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).39D464,164
(C2×C4).40D4 = C23.48D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).40D464,165
(C2×C4).41D4 = C42.28C22φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).41D464,170
(C2×C4).42D4 = C42.29C22φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).42D464,171
(C2×C4).43D4 = C42.30C22φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).43D464,172
(C2×C4).44D4 = C83D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).44D464,177
(C2×C4).45D4 = C8.2D4φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).45D464,178
(C2×C4).46D4 = C8⋊Q8φ: D4/C2C22 ⊆ Aut C2×C464(C2xC4).46D464,182
(C2×C4).47D4 = C16⋊C22φ: D4/C2C22 ⊆ Aut C2×C4164+(C2xC4).47D464,190
(C2×C4).48D4 = Q32⋊C2φ: D4/C2C22 ⊆ Aut C2×C4324-(C2xC4).48D464,191
(C2×C4).49D4 = C23.38C23φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).49D464,217
(C2×C4).50D4 = C2×C8.C22φ: D4/C2C22 ⊆ Aut C2×C432(C2xC4).50D464,255
(C2×C4).51D4 = C4×D8φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).51D464,118
(C2×C4).52D4 = C4×SD16φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).52D464,119
(C2×C4).53D4 = C4×Q16φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).53D464,120
(C2×C4).54D4 = C88D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).54D464,146
(C2×C4).55D4 = C87D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).55D464,147
(C2×C4).56D4 = C8.18D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).56D464,148
(C2×C4).57D4 = C42.78C22φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).57D464,169
(C2×C4).58D4 = C8.12D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).58D464,176
(C2×C4).59D4 = C8.5Q8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).59D464,180
(C2×C4).60D4 = C2.D16φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).60D464,38
(C2×C4).61D4 = C2.Q32φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).61D464,39
(C2×C4).62D4 = D8.C4φ: D4/C4C2 ⊆ Aut C2×C4322(C2xC4).62D464,40
(C2×C4).63D4 = C163C4φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).63D464,47
(C2×C4).64D4 = C164C4φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).64D464,48
(C2×C4).65D4 = C8.4Q8φ: D4/C4C2 ⊆ Aut C2×C4322(C2xC4).65D464,49
(C2×C4).66D4 = C428C4φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).66D464,63
(C2×C4).67D4 = C429C4φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).67D464,65
(C2×C4).68D4 = C23.67C23φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).68D464,72
(C2×C4).69D4 = C2×D4⋊C4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).69D464,95
(C2×C4).70D4 = C2×Q8⋊C4φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).70D464,96
(C2×C4).71D4 = C4⋊M4(2)φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).71D464,104
(C2×C4).72D4 = C2×C4.Q8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).72D464,106
(C2×C4).73D4 = C2×C2.D8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).73D464,107
(C2×C4).74D4 = C4.4D8φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).74D464,167
(C2×C4).75D4 = C4.SD16φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).75D464,168
(C2×C4).76D4 = C85D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).76D464,173
(C2×C4).77D4 = C84D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).77D464,174
(C2×C4).78D4 = C4⋊Q16φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).78D464,175
(C2×C4).79D4 = C83Q8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).79D464,179
(C2×C4).80D4 = C82Q8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).80D464,181
(C2×C4).81D4 = C2×D16φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).81D464,186
(C2×C4).82D4 = C2×SD32φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).82D464,187
(C2×C4).83D4 = C2×Q32φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).83D464,188
(C2×C4).84D4 = C4○D16φ: D4/C4C2 ⊆ Aut C2×C4322(C2xC4).84D464,189
(C2×C4).85D4 = C2×C4.4D4φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).85D464,207
(C2×C4).86D4 = C2×C4⋊Q8φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).86D464,212
(C2×C4).87D4 = C22×D8φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).87D464,250
(C2×C4).88D4 = C22×SD16φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).88D464,251
(C2×C4).89D4 = C22×Q16φ: D4/C4C2 ⊆ Aut C2×C464(C2xC4).89D464,252
(C2×C4).90D4 = C2×C4○D8φ: D4/C4C2 ⊆ Aut C2×C432(C2xC4).90D464,253
(C2×C4).91D4 = C23⋊C8φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).91D464,4
(C2×C4).92D4 = C22.M4(2)φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).92D464,5
(C2×C4).93D4 = D4⋊C8φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).93D464,6
(C2×C4).94D4 = C22.SD16φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).94D464,8
(C2×C4).95D4 = C23.31D4φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).95D464,9
(C2×C4).96D4 = C42.C22φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).96D464,10
(C2×C4).97D4 = C42.2C22φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).97D464,11
(C2×C4).98D4 = C23.8Q8φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).98D464,66
(C2×C4).99D4 = C23.63C23φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).99D464,68
(C2×C4).100D4 = C24.C22φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).100D464,69
(C2×C4).101D4 = SD16⋊C4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).101D464,121
(C2×C4).102D4 = Q16⋊C4φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).102D464,122
(C2×C4).103D4 = D8⋊C4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).103D464,123
(C2×C4).104D4 = D4⋊D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).104D464,130
(C2×C4).105D4 = D4.7D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).105D464,133
(C2×C4).106D4 = C23.19D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).106D464,163
(C2×C4).107D4 = C23.20D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).107D464,166
(C2×C4).108D4 = C4.D8φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).108D464,12
(C2×C4).109D4 = C4.10D8φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).109D464,13
(C2×C4).110D4 = C4.6Q16φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).110D464,14
(C2×C4).111D4 = C22.4Q16φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).111D464,21
(C2×C4).112D4 = C4.C42φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).112D464,22
(C2×C4).113D4 = C22.C42φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).113D464,24
(C2×C4).114D4 = M4(2)⋊4C4φ: D4/C22C2 ⊆ Aut C2×C4164(C2xC4).114D464,25
(C2×C4).115D4 = C23.7Q8φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).115D464,61
(C2×C4).116D4 = C23.65C23φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).116D464,70
(C2×C4).117D4 = C24.4C4φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).117D464,88
(C2×C4).118D4 = (C22×C8)⋊C2φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).118D464,89
(C2×C4).119D4 = C23.C23φ: D4/C22C2 ⊆ Aut C2×C4164(C2xC4).119D464,91
(C2×C4).120D4 = C2×C4.D4φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).120D464,92
(C2×C4).121D4 = C2×C4.10D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).121D464,93
(C2×C4).122D4 = M4(2).8C22φ: D4/C22C2 ⊆ Aut C2×C4164(C2xC4).122D464,94
(C2×C4).123D4 = C23.36D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).123D464,98
(C2×C4).124D4 = C23.37D4φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).124D464,99
(C2×C4).125D4 = C23.38D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).125D464,100
(C2×C4).126D4 = C2×C4≀C2φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).126D464,101
(C2×C4).127D4 = C42.6C22φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).127D464,105
(C2×C4).128D4 = M4(2)⋊C4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).128D464,109
(C2×C4).129D4 = M4(2).C4φ: D4/C22C2 ⊆ Aut C2×C4164(C2xC4).129D464,111
(C2×C4).130D4 = C4⋊SD16φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).130D464,141
(C2×C4).131D4 = D4.D4φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).131D464,142
(C2×C4).132D4 = Q8⋊Q8φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).132D464,156
(C2×C4).133D4 = C4.Q16φ: D4/C22C2 ⊆ Aut C2×C464(C2xC4).133D464,158
(C2×C4).134D4 = C2×C22⋊Q8φ: D4/C22C2 ⊆ Aut C2×C432(C2xC4).134D464,204
(C2×C4).135D4 = C2×C8⋊C22φ: D4/C22C2 ⊆ Aut C2×C416(C2xC4).135D464,254
(C2×C4).136D4 = D8⋊C22φ: D4/C22C2 ⊆ Aut C2×C4164(C2xC4).136D464,256
(C2×C4).137D4 = Q8⋊C8central extension (φ=1)64(C2xC4).137D464,7
(C2×C4).138D4 = C82C8central extension (φ=1)64(C2xC4).138D464,15
(C2×C4).139D4 = C81C8central extension (φ=1)64(C2xC4).139D464,16
(C2×C4).140D4 = C22.7C42central extension (φ=1)64(C2xC4).140D464,17
(C2×C4).141D4 = C426C4central extension (φ=1)16(C2xC4).141D464,20
(C2×C4).142D4 = C4×C22⋊C4central extension (φ=1)32(C2xC4).142D464,58
(C2×C4).143D4 = C4×C4⋊C4central extension (φ=1)64(C2xC4).143D464,59
(C2×C4).144D4 = C2×C22⋊C8central extension (φ=1)32(C2xC4).144D464,87
(C2×C4).145D4 = C23.24D4central extension (φ=1)32(C2xC4).145D464,97
(C2×C4).146D4 = C2×C4⋊C8central extension (φ=1)64(C2xC4).146D464,103
(C2×C4).147D4 = C23.25D4central extension (φ=1)32(C2xC4).147D464,108
(C2×C4).148D4 = C2×C8.C4central extension (φ=1)32(C2xC4).148D464,110

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