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Extensions 1→N→G→Q→1 with N=C2×C18 and Q=C23

Direct product G=N×Q with N=C2×C18 and Q=C23
dρLabelID
C24×C18288C2^4xC18288,840

Semidirect products G=N:Q with N=C2×C18 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C18)⋊C23 = C2×D4×D9φ: C23/C2 → C22 ⊆ Aut C2×C1872(C2xC18):C2^3288,356
(C2×C18)⋊2C23 = D4×C2×C18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18):2C2^3288,368
(C2×C18)⋊3C23 = C22×C9⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18):3C2^3288,366
(C2×C18)⋊4C23 = C24×D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18):4C2^3288,839

Non-split extensions G=N.Q with N=C2×C18 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C18).1C23 = C2×D4⋊2D9φ: C23/C2 → C22 ⊆ Aut C2×C18144(C2xC18).1C2^3288,357
(C2×C18).2C23 = D4⋊6D18φ: C23/C2 → C22 ⊆ Aut C2×C18724(C2xC18).2C2^3288,358
(C2×C18).3C23 = C4○D4×D9φ: C23/C2 → C22 ⊆ Aut C2×C18724(C2xC18).3C2^3288,362
(C2×C18).4C23 = D4⋊8D18φ: C23/C2 → C22 ⊆ Aut C2×C18724+(C2xC18).4C2^3288,363
(C2×C18).5C23 = D4.10D18φ: C23/C2 → C22 ⊆ Aut C2×C181444-(C2xC18).5C2^3288,364
(C2×C18).6C23 = C4○D4×C18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).6C2^3288,370
(C2×C18).7C23 = C9×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C2×C18724(C2xC18).7C2^3288,371
(C2×C18).8C23 = C9×2- 1+4φ: C23/C22 → C2 ⊆ Aut C2×C181444(C2xC18).8C2^3288,372
(C2×C18).9C23 = C4×Dic18φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).9C2^3288,78
(C2×C18).10C23 = C36⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).10C2^3288,79
(C2×C18).11C23 = C36.6Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).11C2^3288,80
(C2×C18).12C23 = C42×D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).12C2^3288,81
(C2×C18).13C23 = C42⋊2D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).13C2^3288,82
(C2×C18).14C23 = C4×D36φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).14C2^3288,83
(C2×C18).15C23 = C42⋊6D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).15C2^3288,84
(C2×C18).16C23 = C42⋊7D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).16C2^3288,85
(C2×C18).17C23 = C42⋊3D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).17C2^3288,86
(C2×C18).18C23 = C23.16D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).18C2^3288,87
(C2×C18).19C23 = C22⋊2Dic18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).19C2^3288,88
(C2×C18).20C23 = C23.8D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).20C2^3288,89
(C2×C18).21C23 = C22⋊C4×D9φ: C23/C22 → C2 ⊆ Aut C2×C1872(C2xC18).21C2^3288,90
(C2×C18).22C23 = Dic9⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).22C2^3288,91
(C2×C18).23C23 = C22⋊3D36φ: C23/C22 → C2 ⊆ Aut C2×C1872(C2xC18).23C2^3288,92
(C2×C18).24C23 = C23.9D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).24C2^3288,93
(C2×C18).25C23 = D18⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).25C2^3288,94
(C2×C18).26C23 = Dic9.D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).26C2^3288,95
(C2×C18).27C23 = C22.4D36φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).27C2^3288,96
(C2×C18).28C23 = Dic9⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).28C2^3288,97
(C2×C18).29C23 = C36⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).29C2^3288,98
(C2×C18).30C23 = Dic9.Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).30C2^3288,99
(C2×C18).31C23 = C36.3Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).31C2^3288,100
(C2×C18).32C23 = C4⋊C4×D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).32C2^3288,101
(C2×C18).33C23 = C4⋊C4⋊7D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).33C2^3288,102
(C2×C18).34C23 = D36⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).34C2^3288,103
(C2×C18).35C23 = D18.D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).35C2^3288,104
(C2×C18).36C23 = C4⋊D36φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).36C2^3288,105
(C2×C18).37C23 = D18⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).37C2^3288,106
(C2×C18).38C23 = D18⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).38C2^3288,107
(C2×C18).39C23 = C4⋊C4⋊D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).39C2^3288,108
(C2×C18).40C23 = C2×C4×Dic9φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).40C2^3288,132
(C2×C18).41C23 = C2×Dic9⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).41C2^3288,133
(C2×C18).42C23 = C36.49D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).42C2^3288,134
(C2×C18).43C23 = C2×C4⋊Dic9φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).43C2^3288,135
(C2×C18).44C23 = C23.26D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).44C2^3288,136
(C2×C18).45C23 = C2×D18⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).45C2^3288,137
(C2×C18).46C23 = C4×C9⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).46C2^3288,138
(C2×C18).47C23 = C23.28D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).47C2^3288,139
(C2×C18).48C23 = C36⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).48C2^3288,140
(C2×C18).49C23 = D4×Dic9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).49C2^3288,144
(C2×C18).50C23 = C23.23D18φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).50C2^3288,145
(C2×C18).51C23 = C36.17D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).51C2^3288,146
(C2×C18).52C23 = C23⋊2D18φ: C23/C22 → C2 ⊆ Aut C2×C1872(C2xC18).52C2^3288,147
(C2×C18).53C23 = C36⋊2D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).53C2^3288,148
(C2×C18).54C23 = Dic9⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).54C2^3288,149
(C2×C18).55C23 = C36⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).55C2^3288,150
(C2×C18).56C23 = Dic9⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).56C2^3288,154
(C2×C18).57C23 = Q8×Dic9φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).57C2^3288,155
(C2×C18).58C23 = D18⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).58C2^3288,156
(C2×C18).59C23 = C36.23D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).59C2^3288,157
(C2×C18).60C23 = C2×C18.D4φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).60C2^3288,162
(C2×C18).61C23 = C24⋊4D9φ: C23/C22 → C2 ⊆ Aut C2×C1872(C2xC18).61C2^3288,163
(C2×C18).62C23 = C22×Dic18φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).62C2^3288,352
(C2×C18).63C23 = C22×C4×D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).63C2^3288,353
(C2×C18).64C23 = C22×D36φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).64C2^3288,354
(C2×C18).65C23 = C2×D36⋊5C2φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).65C2^3288,355
(C2×C18).66C23 = C2×Q8×D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).66C2^3288,359
(C2×C18).67C23 = C2×Q8⋊3D9φ: C23/C22 → C2 ⊆ Aut C2×C18144(C2xC18).67C2^3288,360
(C2×C18).68C23 = Q8.15D18φ: C23/C22 → C2 ⊆ Aut C2×C181444(C2xC18).68C2^3288,361
(C2×C18).69C23 = C23×Dic9φ: C23/C22 → C2 ⊆ Aut C2×C18288(C2xC18).69C2^3288,365
(C2×C18).70C23 = C22⋊C4×C18central extension (φ=1)144(C2xC18).70C2^3288,165
(C2×C18).71C23 = C4⋊C4×C18central extension (φ=1)288(C2xC18).71C2^3288,166
(C2×C18).72C23 = C9×C42⋊C2central extension (φ=1)144(C2xC18).72C2^3288,167
(C2×C18).73C23 = D4×C36central extension (φ=1)144(C2xC18).73C2^3288,168
(C2×C18).74C23 = Q8×C36central extension (φ=1)288(C2xC18).74C2^3288,169
(C2×C18).75C23 = C9×C22≀C2central extension (φ=1)72(C2xC18).75C2^3288,170
(C2×C18).76C23 = C9×C4⋊D4central extension (φ=1)144(C2xC18).76C2^3288,171
(C2×C18).77C23 = C9×C22⋊Q8central extension (φ=1)144(C2xC18).77C2^3288,172
(C2×C18).78C23 = C9×C22.D4central extension (φ=1)144(C2xC18).78C2^3288,173
(C2×C18).79C23 = C9×C4.4D4central extension (φ=1)144(C2xC18).79C2^3288,174
(C2×C18).80C23 = C9×C42.C2central extension (φ=1)288(C2xC18).80C2^3288,175
(C2×C18).81C23 = C9×C42⋊2C2central extension (φ=1)144(C2xC18).81C2^3288,176
(C2×C18).82C23 = C9×C4⋊1D4central extension (φ=1)144(C2xC18).82C2^3288,177
(C2×C18).83C23 = C9×C4⋊Q8central extension (φ=1)288(C2xC18).83C2^3288,178
(C2×C18).84C23 = Q8×C2×C18central extension (φ=1)288(C2xC18).84C2^3288,369

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