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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=D18

Direct product G=N×Q with N=C2×C4 and Q=D18
dρLabelID
C22×C4×D9144C2^2xC4xD9288,353

Semidirect products G=N:Q with N=C2×C4 and Q=D18
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1D18 = C22⋊3D36φ: D18/C9 → C22 ⊆ Aut C2×C472(C2xC4):1D18288,92
(C2×C4)⋊2D18 = C23⋊2D18φ: D18/C9 → C22 ⊆ Aut C2×C472(C2xC4):2D18288,147
(C2×C4)⋊3D18 = D4⋊6D18φ: D18/C9 → C22 ⊆ Aut C2×C4724(C2xC4):3D18288,358
(C2×C4)⋊4D18 = D4⋊8D18φ: D18/C9 → C22 ⊆ Aut C2×C4724+(C2xC4):4D18288,363
(C2×C4)⋊5D18 = C22⋊C4×D9φ: D18/D9 → C2 ⊆ Aut C2×C472(C2xC4):5D18288,90
(C2×C4)⋊6D18 = C2×D4×D9φ: D18/D9 → C2 ⊆ Aut C2×C472(C2xC4):6D18288,356
(C2×C4)⋊7D18 = C4○D4×D9φ: D18/D9 → C2 ⊆ Aut C2×C4724(C2xC4):7D18288,362
(C2×C4)⋊8D18 = C2×D18⋊C4φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4):8D18288,137
(C2×C4)⋊9D18 = C22×D36φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4):9D18288,354
(C2×C4)⋊10D18 = C2×D36⋊5C2φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4):10D18288,355

Non-split extensions G=N.Q with N=C2×C4 and Q=D18
extensionφ:Q→Aut NdρLabelID
(C2×C4).1D18 = C4.D36φ: D18/C9 → C22 ⊆ Aut C2×C41444-(C2xC4).1D18288,30
(C2×C4).2D18 = C36.48D4φ: D18/C9 → C22 ⊆ Aut C2×C4724+(C2xC4).2D18288,31
(C2×C4).3D18 = C36.D4φ: D18/C9 → C22 ⊆ Aut C2×C4724(C2xC4).3D18288,39
(C2×C4).4D18 = C36.9D4φ: D18/C9 → C22 ⊆ Aut C2×C41444(C2xC4).4D18288,42
(C2×C4).5D18 = C22⋊2Dic18φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).5D18288,88
(C2×C4).6D18 = C23.8D18φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).6D18288,89
(C2×C4).7D18 = C22.4D36φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).7D18288,96
(C2×C4).8D18 = C36⋊Q8φ: D18/C9 → C22 ⊆ Aut C2×C4288(C2xC4).8D18288,98
(C2×C4).9D18 = C4⋊D36φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).9D18288,105
(C2×C4).10D18 = D18⋊2Q8φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).10D18288,107
(C2×C4).11D18 = C4⋊C4⋊D9φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).11D18288,108
(C2×C4).12D18 = C8⋊D18φ: D18/C9 → C22 ⊆ Aut C2×C4724+(C2xC4).12D18288,118
(C2×C4).13D18 = C8.D18φ: D18/C9 → C22 ⊆ Aut C2×C41444-(C2xC4).13D18288,119
(C2×C4).14D18 = D36⋊6C22φ: D18/C9 → C22 ⊆ Aut C2×C4724(C2xC4).14D18288,143
(C2×C4).15D18 = C23.23D18φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).15D18288,145
(C2×C4).16D18 = Dic9⋊D4φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).16D18288,149
(C2×C4).17D18 = C36.C23φ: D18/C9 → C22 ⊆ Aut C2×C41444(C2xC4).17D18288,153
(C2×C4).18D18 = Dic9⋊Q8φ: D18/C9 → C22 ⊆ Aut C2×C4288(C2xC4).18D18288,154
(C2×C4).19D18 = D18⋊3Q8φ: D18/C9 → C22 ⊆ Aut C2×C4144(C2xC4).19D18288,156
(C2×C4).20D18 = D4.D18φ: D18/C9 → C22 ⊆ Aut C2×C41444-(C2xC4).20D18288,159
(C2×C4).21D18 = D4⋊D18φ: D18/C9 → C22 ⊆ Aut C2×C4724+(C2xC4).21D18288,160
(C2×C4).22D18 = Q8.15D18φ: D18/C9 → C22 ⊆ Aut C2×C41444(C2xC4).22D18288,361
(C2×C4).23D18 = D4.10D18φ: D18/C9 → C22 ⊆ Aut C2×C41444-(C2xC4).23D18288,364
(C2×C4).24D18 = C23.16D18φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).24D18288,87
(C2×C4).25D18 = Dic9⋊4D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).25D18288,91
(C2×C4).26D18 = C23.9D18φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).26D18288,93
(C2×C4).27D18 = D18⋊D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).27D18288,94
(C2×C4).28D18 = Dic9.D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).28D18288,95
(C2×C4).29D18 = Dic9⋊3Q8φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).29D18288,97
(C2×C4).30D18 = Dic9.Q8φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).30D18288,99
(C2×C4).31D18 = C4⋊C4⋊7D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).31D18288,102
(C2×C4).32D18 = D36⋊C4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).32D18288,103
(C2×C4).33D18 = D18.D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).33D18288,104
(C2×C4).34D18 = D18⋊Q8φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).34D18288,106
(C2×C4).35D18 = C36.Q8φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).35D18288,14
(C2×C4).36D18 = C4.Dic18φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).36D18288,15
(C2×C4).37D18 = C18.Q16φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).37D18288,16
(C2×C4).38D18 = C18.D8φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).38D18288,17
(C2×C4).39D18 = C36.53D4φ: D18/D9 → C2 ⊆ Aut C2×C41444(C2xC4).39D18288,29
(C2×C4).40D18 = Dic18⋊C4φ: D18/D9 → C2 ⊆ Aut C2×C4724(C2xC4).40D18288,32
(C2×C4).41D18 = D4⋊Dic9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).41D18288,40
(C2×C4).42D18 = Q8⋊2Dic9φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).42D18288,43
(C2×C4).43D18 = Q8⋊3Dic9φ: D18/D9 → C2 ⊆ Aut C2×C4724(C2xC4).43D18288,44
(C2×C4).44D18 = C36.3Q8φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).44D18288,100
(C2×C4).45D18 = C4⋊C4×D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).45D18288,101
(C2×C4).46D18 = M4(2)×D9φ: D18/D9 → C2 ⊆ Aut C2×C4724(C2xC4).46D18288,116
(C2×C4).47D18 = D36.C4φ: D18/D9 → C2 ⊆ Aut C2×C41444(C2xC4).47D18288,117
(C2×C4).48D18 = C2×D4.D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).48D18288,141
(C2×C4).49D18 = C2×D4⋊D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).49D18288,142
(C2×C4).50D18 = D4×Dic9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).50D18288,144
(C2×C4).51D18 = C36.17D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).51D18288,146
(C2×C4).52D18 = C36⋊2D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).52D18288,148
(C2×C4).53D18 = C36⋊D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).53D18288,150
(C2×C4).54D18 = C2×C9⋊Q16φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).54D18288,151
(C2×C4).55D18 = C2×Q8⋊2D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).55D18288,152
(C2×C4).56D18 = Q8×Dic9φ: D18/D9 → C2 ⊆ Aut C2×C4288(C2xC4).56D18288,155
(C2×C4).57D18 = C36.23D4φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).57D18288,157
(C2×C4).58D18 = D4.Dic9φ: D18/D9 → C2 ⊆ Aut C2×C41444(C2xC4).58D18288,158
(C2×C4).59D18 = D4.9D18φ: D18/D9 → C2 ⊆ Aut C2×C41444(C2xC4).59D18288,161
(C2×C4).60D18 = C2×D4⋊2D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).60D18288,357
(C2×C4).61D18 = C2×Q8×D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).61D18288,359
(C2×C4).62D18 = C2×Q8⋊3D9φ: D18/D9 → C2 ⊆ Aut C2×C4144(C2xC4).62D18288,360
(C2×C4).63D18 = C36.6Q8φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).63D18288,80
(C2×C4).64D18 = C42⋊2D9φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).64D18288,82
(C2×C4).65D18 = C42⋊7D9φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).65D18288,85
(C2×C4).66D18 = C42⋊3D9φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).66D18288,86
(C2×C4).67D18 = C2×Dic9⋊C4φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).67D18288,133
(C2×C4).68D18 = C36.49D4φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).68D18288,134
(C2×C4).69D18 = C23.28D18φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).69D18288,139
(C2×C4).70D18 = C36⋊7D4φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).70D18288,140
(C2×C4).71D18 = C42⋊4D9φ: D18/C18 → C2 ⊆ Aut C2×C4722(C2xC4).71D18288,12
(C2×C4).72D18 = C72.C4φ: D18/C18 → C2 ⊆ Aut C2×C41442(C2xC4).72D18288,20
(C2×C4).73D18 = C36.45D4φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).73D18288,24
(C2×C4).74D18 = C8⋊Dic9φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).74D18288,25
(C2×C4).75D18 = C72⋊1C4φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).75D18288,26
(C2×C4).76D18 = C2.D72φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).76D18288,28
(C2×C4).77D18 = C36⋊2Q8φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).77D18288,79
(C2×C4).78D18 = C42⋊6D9φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).78D18288,84
(C2×C4).79D18 = C2×Dic36φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).79D18288,109
(C2×C4).80D18 = D36.2C4φ: D18/C18 → C2 ⊆ Aut C2×C41442(C2xC4).80D18288,112
(C2×C4).81D18 = C2×C72⋊C2φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).81D18288,113
(C2×C4).82D18 = C2×D72φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).82D18288,114
(C2×C4).83D18 = D72⋊7C2φ: D18/C18 → C2 ⊆ Aut C2×C41442(C2xC4).83D18288,115
(C2×C4).84D18 = C2×C4.Dic9φ: D18/C18 → C2 ⊆ Aut C2×C4144(C2xC4).84D18288,131
(C2×C4).85D18 = C2×C4⋊Dic9φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).85D18288,135
(C2×C4).86D18 = C22×Dic18φ: D18/C18 → C2 ⊆ Aut C2×C4288(C2xC4).86D18288,352
(C2×C4).87D18 = C4×C9⋊C8central extension (φ=1)288(C2xC4).87D18288,9
(C2×C4).88D18 = C42.D9central extension (φ=1)288(C2xC4).88D18288,10
(C2×C4).89D18 = C36⋊C8central extension (φ=1)288(C2xC4).89D18288,11
(C2×C4).90D18 = C8×Dic9central extension (φ=1)288(C2xC4).90D18288,21
(C2×C4).91D18 = Dic9⋊C8central extension (φ=1)288(C2xC4).91D18288,22
(C2×C4).92D18 = C72⋊C4central extension (φ=1)288(C2xC4).92D18288,23
(C2×C4).93D18 = D18⋊C8central extension (φ=1)144(C2xC4).93D18288,27
(C2×C4).94D18 = C36.55D4central extension (φ=1)144(C2xC4).94D18288,37
(C2×C4).95D18 = C4×Dic18central extension (φ=1)288(C2xC4).95D18288,78
(C2×C4).96D18 = C42×D9central extension (φ=1)144(C2xC4).96D18288,81
(C2×C4).97D18 = C4×D36central extension (φ=1)144(C2xC4).97D18288,83
(C2×C4).98D18 = C2×C8×D9central extension (φ=1)144(C2xC4).98D18288,110
(C2×C4).99D18 = C2×C8⋊D9central extension (φ=1)144(C2xC4).99D18288,111
(C2×C4).100D18 = C22×C9⋊C8central extension (φ=1)288(C2xC4).100D18288,130
(C2×C4).101D18 = C2×C4×Dic9central extension (φ=1)288(C2xC4).101D18288,132
(C2×C4).102D18 = C23.26D18central extension (φ=1)144(C2xC4).102D18288,136
(C2×C4).103D18 = C4×C9⋊D4central extension (φ=1)144(C2xC4).103D18288,138

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