# Extensions 1→N→G→Q→1 with N=C22×C18 and Q=C22

Direct product G=N×Q with N=C22×C18 and Q=C22
dρLabelID
C24×C18288C2^4xC18288,840

Semidirect products G=N:Q with N=C22×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C18)⋊1C22 = C9×C22≀C2φ: C22/C1C22 ⊆ Aut C22×C1872(C2^2xC18):1C2^2288,170
(C22×C18)⋊2C22 = C9×2+ 1+4φ: C22/C1C22 ⊆ Aut C22×C18724(C2^2xC18):2C2^2288,371
(C22×C18)⋊3C22 = C232D18φ: C22/C1C22 ⊆ Aut C22×C1872(C2^2xC18):3C2^2288,147
(C22×C18)⋊4C22 = C2×D4×D9φ: C22/C1C22 ⊆ Aut C22×C1872(C2^2xC18):4C2^2288,356
(C22×C18)⋊5C22 = D46D18φ: C22/C1C22 ⊆ Aut C22×C18724(C2^2xC18):5C2^2288,358
(C22×C18)⋊6C22 = D4×C2×C18φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18):6C2^2288,368
(C22×C18)⋊7C22 = C22×C9⋊D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18):7C2^2288,366
(C22×C18)⋊8C22 = C24×D9φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18):8C2^2288,839

Non-split extensions G=N.Q with N=C22×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C18).1C22 = C9×C23⋊C4φ: C22/C1C22 ⊆ Aut C22×C18724(C2^2xC18).1C2^2288,49
(C22×C18).2C22 = C9×C4.4D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).2C2^2288,174
(C22×C18).3C22 = C9×C422C2φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).3C2^2288,176
(C22×C18).4C22 = C9×C41D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).4C2^2288,177
(C22×C18).5C22 = C22.D36φ: C22/C1C22 ⊆ Aut C22×C18724(C2^2xC18).5C2^2288,13
(C22×C18).6C22 = C232Dic9φ: C22/C1C22 ⊆ Aut C22×C18724(C2^2xC18).6C2^2288,41
(C22×C18).7C22 = C23.16D18φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).7C2^2288,87
(C22×C18).8C22 = C222Dic18φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).8C2^2288,88
(C22×C18).9C22 = C23.8D18φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).9C2^2288,89
(C22×C18).10C22 = C22⋊C4×D9φ: C22/C1C22 ⊆ Aut C22×C1872(C2^2xC18).10C2^2288,90
(C22×C18).11C22 = Dic94D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).11C2^2288,91
(C22×C18).12C22 = C223D36φ: C22/C1C22 ⊆ Aut C22×C1872(C2^2xC18).12C2^2288,92
(C22×C18).13C22 = C23.9D18φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).13C2^2288,93
(C22×C18).14C22 = D18⋊D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).14C2^2288,94
(C22×C18).15C22 = Dic9.D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).15C2^2288,95
(C22×C18).16C22 = C22.4D36φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).16C2^2288,96
(C22×C18).17C22 = D4×Dic9φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).17C2^2288,144
(C22×C18).18C22 = C23.23D18φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).18C2^2288,145
(C22×C18).19C22 = C36.17D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).19C2^2288,146
(C22×C18).20C22 = C362D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).20C2^2288,148
(C22×C18).21C22 = Dic9⋊D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).21C2^2288,149
(C22×C18).22C22 = C36⋊D4φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).22C2^2288,150
(C22×C18).23C22 = C2×D42D9φ: C22/C1C22 ⊆ Aut C22×C18144(C2^2xC18).23C2^2288,357
(C22×C18).24C22 = C22⋊C4×C18φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).24C2^2288,165
(C22×C18).25C22 = C9×C42⋊C2φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).25C2^2288,167
(C22×C18).26C22 = D4×C36φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).26C2^2288,168
(C22×C18).27C22 = C9×C4⋊D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).27C2^2288,171
(C22×C18).28C22 = C9×C22⋊Q8φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).28C2^2288,172
(C22×C18).29C22 = C9×C22.D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).29C2^2288,173
(C22×C18).30C22 = C4○D4×C18φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).30C2^2288,370
(C22×C18).31C22 = C18.C42φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).31C2^2288,38
(C22×C18).32C22 = C2×C4×Dic9φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).32C2^2288,132
(C22×C18).33C22 = C2×Dic9⋊C4φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).33C2^2288,133
(C22×C18).34C22 = C36.49D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).34C2^2288,134
(C22×C18).35C22 = C2×C4⋊Dic9φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).35C2^2288,135
(C22×C18).36C22 = C23.26D18φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).36C2^2288,136
(C22×C18).37C22 = C2×D18⋊C4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).37C2^2288,137
(C22×C18).38C22 = C4×C9⋊D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).38C2^2288,138
(C22×C18).39C22 = C23.28D18φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).39C2^2288,139
(C22×C18).40C22 = C367D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).40C2^2288,140
(C22×C18).41C22 = C2×C18.D4φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).41C2^2288,162
(C22×C18).42C22 = C244D9φ: C22/C2C2 ⊆ Aut C22×C1872(C2^2xC18).42C2^2288,163
(C22×C18).43C22 = C22×Dic18φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).43C2^2288,352
(C22×C18).44C22 = C22×C4×D9φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).44C2^2288,353
(C22×C18).45C22 = C22×D36φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).45C2^2288,354
(C22×C18).46C22 = C2×D365C2φ: C22/C2C2 ⊆ Aut C22×C18144(C2^2xC18).46C2^2288,355
(C22×C18).47C22 = C23×Dic9φ: C22/C2C2 ⊆ Aut C22×C18288(C2^2xC18).47C2^2288,365
(C22×C18).48C22 = C9×C2.C42central extension (φ=1)288(C2^2xC18).48C2^2288,45
(C22×C18).49C22 = C4⋊C4×C18central extension (φ=1)288(C2^2xC18).49C2^2288,166
(C22×C18).50C22 = Q8×C2×C18central extension (φ=1)288(C2^2xC18).50C2^2288,369

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