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Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C22

Direct product G=N×Q with N=C22×C6 and Q=C22
dρLabelID
C24×C696C2^4xC696,231

Semidirect products G=N:Q with N=C22×C6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊1C22 = C3×C22≀C2φ: C22/C1 → C22 ⊆ Aut C22×C624(C2^2xC6):1C2^296,167
(C22×C6)⋊2C22 = C3×2+ 1+4φ: C22/C1 → C22 ⊆ Aut C22×C6244(C2^2xC6):2C2^296,224
(C22×C6)⋊3C22 = C23⋊2D6φ: C22/C1 → C22 ⊆ Aut C22×C624(C2^2xC6):3C2^296,144
(C22×C6)⋊4C22 = C2×S3×D4φ: C22/C1 → C22 ⊆ Aut C22×C624(C2^2xC6):4C2^296,209
(C22×C6)⋊5C22 = D4⋊6D6φ: C22/C1 → C22 ⊆ Aut C22×C6244(C2^2xC6):5C2^296,211
(C22×C6)⋊6C22 = D4×C2×C6φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6):6C2^296,221
(C22×C6)⋊7C22 = C22×C3⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6):7C2^296,219
(C22×C6)⋊8C22 = S3×C24φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6):8C2^296,230

Non-split extensions G=N.Q with N=C22×C6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C6).1C22 = C3×C23⋊C4φ: C22/C1 → C22 ⊆ Aut C22×C6244(C2^2xC6).1C2^296,49
(C22×C6).2C22 = C3×C4.4D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).2C2^296,171
(C22×C6).3C22 = C3×C42⋊2C2φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).3C2^296,173
(C22×C6).4C22 = C3×C4⋊1D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).4C2^296,174
(C22×C6).5C22 = C23.6D6φ: C22/C1 → C22 ⊆ Aut C22×C6244(C2^2xC6).5C2^296,13
(C22×C6).6C22 = C23.7D6φ: C22/C1 → C22 ⊆ Aut C22×C6244(C2^2xC6).6C2^296,41
(C22×C6).7C22 = C23.16D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).7C2^296,84
(C22×C6).8C22 = Dic3.D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).8C2^296,85
(C22×C6).9C22 = C23.8D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).9C2^296,86
(C22×C6).10C22 = S3×C22⋊C4φ: C22/C1 → C22 ⊆ Aut C22×C624(C2^2xC6).10C2^296,87
(C22×C6).11C22 = Dic3⋊4D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).11C2^296,88
(C22×C6).12C22 = D6⋊D4φ: C22/C1 → C22 ⊆ Aut C22×C624(C2^2xC6).12C2^296,89
(C22×C6).13C22 = C23.9D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).13C2^296,90
(C22×C6).14C22 = Dic3⋊D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).14C2^296,91
(C22×C6).15C22 = C23.11D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).15C2^296,92
(C22×C6).16C22 = C23.21D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).16C2^296,93
(C22×C6).17C22 = D4×Dic3φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).17C2^296,141
(C22×C6).18C22 = C23.23D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).18C2^296,142
(C22×C6).19C22 = C23.12D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).19C2^296,143
(C22×C6).20C22 = D6⋊3D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).20C2^296,145
(C22×C6).21C22 = C23.14D6φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).21C2^296,146
(C22×C6).22C22 = C12⋊3D4φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).22C2^296,147
(C22×C6).23C22 = C2×D4⋊2S3φ: C22/C1 → C22 ⊆ Aut C22×C648(C2^2xC6).23C2^296,210
(C22×C6).24C22 = C6×C22⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).24C2^296,162
(C22×C6).25C22 = C3×C42⋊C2φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).25C2^296,164
(C22×C6).26C22 = D4×C12φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).26C2^296,165
(C22×C6).27C22 = C3×C4⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).27C2^296,168
(C22×C6).28C22 = C3×C22⋊Q8φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).28C2^296,169
(C22×C6).29C22 = C3×C22.D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).29C2^296,170
(C22×C6).30C22 = C6×C4○D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).30C2^296,223
(C22×C6).31C22 = C6.C42φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).31C2^296,38
(C22×C6).32C22 = C2×C4×Dic3φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).32C2^296,129
(C22×C6).33C22 = C2×Dic3⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).33C2^296,130
(C22×C6).34C22 = C12.48D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).34C2^296,131
(C22×C6).35C22 = C2×C4⋊Dic3φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).35C2^296,132
(C22×C6).36C22 = C23.26D6φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).36C2^296,133
(C22×C6).37C22 = C2×D6⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).37C2^296,134
(C22×C6).38C22 = C4×C3⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).38C2^296,135
(C22×C6).39C22 = C23.28D6φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).39C2^296,136
(C22×C6).40C22 = C12⋊7D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).40C2^296,137
(C22×C6).41C22 = C2×C6.D4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).41C2^296,159
(C22×C6).42C22 = C24⋊4S3φ: C22/C2 → C2 ⊆ Aut C22×C624(C2^2xC6).42C2^296,160
(C22×C6).43C22 = C22×Dic6φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).43C2^296,205
(C22×C6).44C22 = S3×C22×C4φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).44C2^296,206
(C22×C6).45C22 = C22×D12φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).45C2^296,207
(C22×C6).46C22 = C2×C4○D12φ: C22/C2 → C2 ⊆ Aut C22×C648(C2^2xC6).46C2^296,208
(C22×C6).47C22 = C23×Dic3φ: C22/C2 → C2 ⊆ Aut C22×C696(C2^2xC6).47C2^296,218
(C22×C6).48C22 = C3×C2.C42central extension (φ=1)96(C2^2xC6).48C2^296,45
(C22×C6).49C22 = C6×C4⋊C4central extension (φ=1)96(C2^2xC6).49C2^296,163
(C22×C6).50C22 = Q8×C2×C6central extension (φ=1)96(C2^2xC6).50C2^296,222

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