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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D22

Direct product G=N×Q with N=C2×C4 and Q=D22
dρLabelID
C22×C4×D11176C2^2xC4xD11352,174

Semidirect products G=N:Q with N=C2×C4 and Q=D22
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D22 = C22⋊D44φ: D22/C11 → C22 ⊆ Aut C2×C488(C2xC4):1D22352,77
(C2×C4)⋊2D22 = C23⋊D22φ: D22/C11 → C22 ⊆ Aut C2×C488(C2xC4):2D22352,132
(C2×C4)⋊3D22 = D4⋊6D22φ: D22/C11 → C22 ⊆ Aut C2×C4884(C2xC4):3D22352,179
(C2×C4)⋊4D22 = D4⋊8D22φ: D22/C11 → C22 ⊆ Aut C2×C4884+(C2xC4):4D22352,184
(C2×C4)⋊5D22 = C22⋊C4×D11φ: D22/D11 → C2 ⊆ Aut C2×C488(C2xC4):5D22352,75
(C2×C4)⋊6D22 = C2×D4×D11φ: D22/D11 → C2 ⊆ Aut C2×C488(C2xC4):6D22352,177
(C2×C4)⋊7D22 = C4○D4×D11φ: D22/D11 → C2 ⊆ Aut C2×C4884(C2xC4):7D22352,183
(C2×C4)⋊8D22 = C2×D22⋊C4φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4):8D22352,122
(C2×C4)⋊9D22 = C22×D44φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4):9D22352,175
(C2×C4)⋊10D22 = C2×D44⋊5C2φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4):10D22352,176

Non-split extensions G=N.Q with N=C2×C4 and Q=D22
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D22 = C44.46D4φ: D22/C11 → C22 ⊆ Aut C2×C4884+(C2xC4).1D22352,29
(C2×C4).2D22 = C44.47D4φ: D22/C11 → C22 ⊆ Aut C2×C41764-(C2xC4).2D22352,30
(C2×C4).3D22 = C44.D4φ: D22/C11 → C22 ⊆ Aut C2×C4884(C2xC4).3D22352,39
(C2×C4).4D22 = C44.10D4φ: D22/C11 → C22 ⊆ Aut C2×C41764(C2xC4).4D22352,42
(C2×C4).5D22 = C22⋊Dic22φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).5D22352,73
(C2×C4).6D22 = D22.D4φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).6D22352,78
(C2×C4).7D22 = D22⋊D4φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).7D22352,79
(C2×C4).8D22 = Dic11.D4φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).8D22352,80
(C2×C4).9D22 = C22.D44φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).9D22352,81
(C2×C4).10D22 = Dic11.Q8φ: D22/C11 → C22 ⊆ Aut C2×C4352(C2xC4).10D22352,84
(C2×C4).11D22 = D22.5D4φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).11D22352,89
(C2×C4).12D22 = C4⋊2D44φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).12D22352,90
(C2×C4).13D22 = D22⋊Q8φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).13D22352,91
(C2×C4).14D22 = D22⋊2Q8φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).14D22352,92
(C2×C4).15D22 = C8⋊D22φ: D22/C11 → C22 ⊆ Aut C2×C4884+(C2xC4).15D22352,103
(C2×C4).16D22 = C8.D22φ: D22/C11 → C22 ⊆ Aut C2×C41764-(C2xC4).16D22352,104
(C2×C4).17D22 = D44⋊6C22φ: D22/C11 → C22 ⊆ Aut C2×C4884(C2xC4).17D22352,127
(C2×C4).18D22 = C23.18D22φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).18D22352,130
(C2×C4).19D22 = Dic11⋊D4φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).19D22352,134
(C2×C4).20D22 = C44.C23φ: D22/C11 → C22 ⊆ Aut C2×C41764(C2xC4).20D22352,137
(C2×C4).21D22 = D22⋊3Q8φ: D22/C11 → C22 ⊆ Aut C2×C4176(C2xC4).21D22352,141
(C2×C4).22D22 = Q8⋊D22φ: D22/C11 → C22 ⊆ Aut C2×C4884+(C2xC4).22D22352,144
(C2×C4).23D22 = D4.9D22φ: D22/C11 → C22 ⊆ Aut C2×C41764-(C2xC4).23D22352,146
(C2×C4).24D22 = Q8.10D22φ: D22/C11 → C22 ⊆ Aut C2×C41764(C2xC4).24D22352,182
(C2×C4).25D22 = D4.10D22φ: D22/C11 → C22 ⊆ Aut C2×C41764-(C2xC4).25D22352,185
(C2×C4).26D22 = C23.11D22φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).26D22352,72
(C2×C4).27D22 = C23.D22φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).27D22352,74
(C2×C4).28D22 = Dic11⋊4D4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).28D22352,76
(C2×C4).29D22 = Dic22⋊C4φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).29D22352,82
(C2×C4).30D22 = C4⋊C4×D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).30D22352,86
(C2×C4).31D22 = D44⋊C4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).31D22352,88
(C2×C4).32D22 = C4⋊C4⋊D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).32D22352,93
(C2×C4).33D22 = C44.Q8φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).33D22352,13
(C2×C4).34D22 = C4.Dic22φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).34D22352,14
(C2×C4).35D22 = C22.D8φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).35D22352,15
(C2×C4).36D22 = C22.Q16φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).36D22352,16
(C2×C4).37D22 = C44.53D4φ: D22/D11 → C2 ⊆ Aut C2×C41764(C2xC4).37D22352,28
(C2×C4).38D22 = D44⋊4C4φ: D22/D11 → C2 ⊆ Aut C2×C4884(C2xC4).38D22352,31
(C2×C4).39D22 = D4⋊Dic11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).39D22352,38
(C2×C4).40D22 = Q8⋊Dic11φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).40D22352,41
(C2×C4).41D22 = C44.56D4φ: D22/D11 → C2 ⊆ Aut C2×C4884(C2xC4).41D22352,43
(C2×C4).42D22 = C44⋊Q8φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).42D22352,83
(C2×C4).43D22 = C44.3Q8φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).43D22352,85
(C2×C4).44D22 = C4⋊C4⋊7D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).44D22352,87
(C2×C4).45D22 = M4(2)×D11φ: D22/D11 → C2 ⊆ Aut C2×C4884(C2xC4).45D22352,101
(C2×C4).46D22 = D44.C4φ: D22/D11 → C2 ⊆ Aut C2×C41764(C2xC4).46D22352,102
(C2×C4).47D22 = C2×D4⋊D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).47D22352,126
(C2×C4).48D22 = C2×D4.D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).48D22352,128
(C2×C4).49D22 = D4×Dic11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).49D22352,129
(C2×C4).50D22 = C44.17D4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).50D22352,131
(C2×C4).51D22 = C44⋊2D4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).51D22352,133
(C2×C4).52D22 = C44⋊D4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).52D22352,135
(C2×C4).53D22 = C2×Q8⋊D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).53D22352,136
(C2×C4).54D22 = C2×C11⋊Q16φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).54D22352,138
(C2×C4).55D22 = Dic11⋊Q8φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).55D22352,139
(C2×C4).56D22 = Q8×Dic11φ: D22/D11 → C2 ⊆ Aut C2×C4352(C2xC4).56D22352,140
(C2×C4).57D22 = C44.23D4φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).57D22352,142
(C2×C4).58D22 = Q8.Dic11φ: D22/D11 → C2 ⊆ Aut C2×C41764(C2xC4).58D22352,143
(C2×C4).59D22 = D4.8D22φ: D22/D11 → C2 ⊆ Aut C2×C41764(C2xC4).59D22352,145
(C2×C4).60D22 = C2×D4⋊2D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).60D22352,178
(C2×C4).61D22 = C2×Q8×D11φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).61D22352,180
(C2×C4).62D22 = C2×D44⋊C2φ: D22/D11 → C2 ⊆ Aut C2×C4176(C2xC4).62D22352,181
(C2×C4).63D22 = C42⋊2D11φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).63D22352,71
(C2×C4).64D22 = C2×Dic11⋊C4φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).64D22352,118
(C2×C4).65D22 = C23.23D22φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).65D22352,124
(C2×C4).66D22 = D44⋊1C4φ: D22/C22 → C2 ⊆ Aut C2×C4882(C2xC4).66D22352,11
(C2×C4).67D22 = C44.44D4φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).67D22352,22
(C2×C4).68D22 = C44.4Q8φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).68D22352,23
(C2×C4).69D22 = C44.5Q8φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).69D22352,24
(C2×C4).70D22 = C88.C4φ: D22/C22 → C2 ⊆ Aut C2×C41762(C2xC4).70D22352,25
(C2×C4).71D22 = C2.D88φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).71D22352,27
(C2×C4).72D22 = C4×Dic22φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).72D22352,63
(C2×C4).73D22 = C44⋊2Q8φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).73D22352,64
(C2×C4).74D22 = C44.6Q8φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).74D22352,65
(C2×C4).75D22 = C4×D44φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).75D22352,68
(C2×C4).76D22 = C4⋊D44φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).76D22352,69
(C2×C4).77D22 = C4.D44φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).77D22352,70
(C2×C4).78D22 = D44.2C4φ: D22/C22 → C2 ⊆ Aut C2×C41762(C2xC4).78D22352,96
(C2×C4).79D22 = C2×C8⋊D11φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).79D22352,97
(C2×C4).80D22 = C2×D88φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).80D22352,98
(C2×C4).81D22 = D88⋊7C2φ: D22/C22 → C2 ⊆ Aut C2×C41762(C2xC4).81D22352,99
(C2×C4).82D22 = C2×Dic44φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).82D22352,100
(C2×C4).83D22 = C44.48D4φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).83D22352,119
(C2×C4).84D22 = C2×C44⋊C4φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).84D22352,120
(C2×C4).85D22 = C44⋊7D4φ: D22/C22 → C2 ⊆ Aut C2×C4176(C2xC4).85D22352,125
(C2×C4).86D22 = C22×Dic22φ: D22/C22 → C2 ⊆ Aut C2×C4352(C2xC4).86D22352,173
(C2×C4).87D22 = C4×C11⋊C8central extension (φ=1)352(C2xC4).87D22352,8
(C2×C4).88D22 = C42.D11central extension (φ=1)352(C2xC4).88D22352,9
(C2×C4).89D22 = C44⋊C8central extension (φ=1)352(C2xC4).89D22352,10
(C2×C4).90D22 = C8×Dic11central extension (φ=1)352(C2xC4).90D22352,19
(C2×C4).91D22 = Dic11⋊C8central extension (φ=1)352(C2xC4).91D22352,20
(C2×C4).92D22 = C88⋊C4central extension (φ=1)352(C2xC4).92D22352,21
(C2×C4).93D22 = D22⋊C8central extension (φ=1)176(C2xC4).93D22352,26
(C2×C4).94D22 = C44.55D4central extension (φ=1)176(C2xC4).94D22352,36
(C2×C4).95D22 = C42×D11central extension (φ=1)176(C2xC4).95D22352,66
(C2×C4).96D22 = C42⋊D11central extension (φ=1)176(C2xC4).96D22352,67
(C2×C4).97D22 = C2×C8×D11central extension (φ=1)176(C2xC4).97D22352,94
(C2×C4).98D22 = C2×C88⋊C2central extension (φ=1)176(C2xC4).98D22352,95
(C2×C4).99D22 = C22×C11⋊C8central extension (φ=1)352(C2xC4).99D22352,115
(C2×C4).100D22 = C2×C44.C4central extension (φ=1)176(C2xC4).100D22352,116
(C2×C4).101D22 = C2×C4×Dic11central extension (φ=1)352(C2xC4).101D22352,117
(C2×C4).102D22 = C23.21D22central extension (φ=1)176(C2xC4).102D22352,121
(C2×C4).103D22 = C4×C11⋊D4central extension (φ=1)176(C2xC4).103D22352,123

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