Extensions 1→N→G→Q→1 with N=C84 and Q=C22

Direct product G=N×Q with N=C84 and Q=C22
dρLabelID
C22×C84336C2^2xC84336,204

Semidirect products G=N:Q with N=C84 and Q=C22
extensionφ:Q→Aut NdρLabelID
C841C22 = D4×D21φ: C22/C1C22 ⊆ Aut C84844+C84:1C2^2336,198
C842C22 = S3×D28φ: C22/C1C22 ⊆ Aut C84844+C84:2C2^2336,149
C843C22 = D7×D12φ: C22/C1C22 ⊆ Aut C84844+C84:3C2^2336,148
C844C22 = C28⋊D6φ: C22/C1C22 ⊆ Aut C84844C84:4C2^2336,150
C845C22 = C4×S3×D7φ: C22/C1C22 ⊆ Aut C84844C84:5C2^2336,147
C846C22 = C3×D4×D7φ: C22/C1C22 ⊆ Aut C84844C84:6C2^2336,178
C847C22 = S3×C7×D4φ: C22/C1C22 ⊆ Aut C84844C84:7C2^2336,188
C848C22 = C2×D84φ: C22/C2C2 ⊆ Aut C84168C84:8C2^2336,196
C849C22 = C2×C4×D21φ: C22/C2C2 ⊆ Aut C84168C84:9C2^2336,195
C8410C22 = C6×D28φ: C22/C2C2 ⊆ Aut C84168C84:10C2^2336,176
C8411C22 = D7×C2×C12φ: C22/C2C2 ⊆ Aut C84168C84:11C2^2336,175
C8412C22 = C14×D12φ: C22/C2C2 ⊆ Aut C84168C84:12C2^2336,186
C8413C22 = S3×C2×C28φ: C22/C2C2 ⊆ Aut C84168C84:13C2^2336,185
C8414C22 = D4×C42φ: C22/C2C2 ⊆ Aut C84168C84:14C2^2336,205

Non-split extensions G=N.Q with N=C84 and Q=C22
extensionφ:Q→Aut NdρLabelID
C84.1C22 = D4⋊D21φ: C22/C1C22 ⊆ Aut C841684+C84.1C2^2336,101
C84.2C22 = D4.D21φ: C22/C1C22 ⊆ Aut C841684-C84.2C2^2336,102
C84.3C22 = Q82D21φ: C22/C1C22 ⊆ Aut C841684+C84.3C2^2336,103
C84.4C22 = C217Q16φ: C22/C1C22 ⊆ Aut C843364-C84.4C2^2336,104
C84.5C22 = D42D21φ: C22/C1C22 ⊆ Aut C841684-C84.5C2^2336,199
C84.6C22 = Q8×D21φ: C22/C1C22 ⊆ Aut C841684-C84.6C2^2336,200
C84.7C22 = Q83D21φ: C22/C1C22 ⊆ Aut C841684+C84.7C2^2336,201
C84.8C22 = C3⋊D56φ: C22/C1C22 ⊆ Aut C841684+C84.8C2^2336,30
C84.9C22 = C6.D28φ: C22/C1C22 ⊆ Aut C841684-C84.9C2^2336,34
C84.10C22 = C21⋊SD16φ: C22/C1C22 ⊆ Aut C841684+C84.10C2^2336,35
C84.11C22 = C3⋊Dic28φ: C22/C1C22 ⊆ Aut C843364-C84.11C2^2336,39
C84.12C22 = D285S3φ: C22/C1C22 ⊆ Aut C841684-C84.12C2^2336,138
C84.13C22 = S3×Dic14φ: C22/C1C22 ⊆ Aut C841684-C84.13C2^2336,140
C84.14C22 = D84⋊C2φ: C22/C1C22 ⊆ Aut C841684+C84.14C2^2336,142
C84.15C22 = C7⋊D24φ: C22/C1C22 ⊆ Aut C841684+C84.15C2^2336,31
C84.16C22 = D12.D7φ: C22/C1C22 ⊆ Aut C841684-C84.16C2^2336,36
C84.17C22 = Dic6⋊D7φ: C22/C1C22 ⊆ Aut C841684+C84.17C2^2336,37
C84.18C22 = C7⋊Dic12φ: C22/C1C22 ⊆ Aut C843364-C84.18C2^2336,40
C84.19C22 = D7×Dic6φ: C22/C1C22 ⊆ Aut C841684-C84.19C2^2336,137
C84.20C22 = D125D7φ: C22/C1C22 ⊆ Aut C841684-C84.20C2^2336,145
C84.21C22 = D14.D6φ: C22/C1C22 ⊆ Aut C841684+C84.21C2^2336,146
C84.22C22 = C21⋊D8φ: C22/C1C22 ⊆ Aut C841684C84.22C2^2336,29
C84.23C22 = C28.D6φ: C22/C1C22 ⊆ Aut C841684C84.23C2^2336,32
C84.24C22 = C42.D4φ: C22/C1C22 ⊆ Aut C841684C84.24C2^2336,33
C84.25C22 = C21⋊Q16φ: C22/C1C22 ⊆ Aut C843364C84.25C2^2336,38
C84.26C22 = D28⋊S3φ: C22/C1C22 ⊆ Aut C841684C84.26C2^2336,139
C84.27C22 = D12⋊D7φ: C22/C1C22 ⊆ Aut C841684C84.27C2^2336,141
C84.28C22 = D21⋊Q8φ: C22/C1C22 ⊆ Aut C841684C84.28C2^2336,143
C84.29C22 = D7×C3⋊C8φ: C22/C1C22 ⊆ Aut C841684C84.29C2^2336,23
C84.30C22 = S3×C7⋊C8φ: C22/C1C22 ⊆ Aut C841684C84.30C2^2336,24
C84.31C22 = D21⋊C8φ: C22/C1C22 ⊆ Aut C841684C84.31C2^2336,25
C84.32C22 = C28.32D6φ: C22/C1C22 ⊆ Aut C841684C84.32C2^2336,26
C84.33C22 = D6.Dic7φ: C22/C1C22 ⊆ Aut C841684C84.33C2^2336,27
C84.34C22 = D42.C4φ: C22/C1C22 ⊆ Aut C841684C84.34C2^2336,28
C84.35C22 = D6.D14φ: C22/C1C22 ⊆ Aut C841684C84.35C2^2336,144
C84.36C22 = C3×D4⋊D7φ: C22/C1C22 ⊆ Aut C841684C84.36C2^2336,69
C84.37C22 = C3×D4.D7φ: C22/C1C22 ⊆ Aut C841684C84.37C2^2336,70
C84.38C22 = C3×Q8⋊D7φ: C22/C1C22 ⊆ Aut C841684C84.38C2^2336,71
C84.39C22 = C3×C7⋊Q16φ: C22/C1C22 ⊆ Aut C843364C84.39C2^2336,72
C84.40C22 = C3×D42D7φ: C22/C1C22 ⊆ Aut C841684C84.40C2^2336,179
C84.41C22 = C3×Q8×D7φ: C22/C1C22 ⊆ Aut C841684C84.41C2^2336,180
C84.42C22 = C3×Q82D7φ: C22/C1C22 ⊆ Aut C841684C84.42C2^2336,181
C84.43C22 = C7×D4⋊S3φ: C22/C1C22 ⊆ Aut C841684C84.43C2^2336,85
C84.44C22 = C7×D4.S3φ: C22/C1C22 ⊆ Aut C841684C84.44C2^2336,86
C84.45C22 = C7×Q82S3φ: C22/C1C22 ⊆ Aut C841684C84.45C2^2336,87
C84.46C22 = C7×C3⋊Q16φ: C22/C1C22 ⊆ Aut C843364C84.46C2^2336,88
C84.47C22 = C7×D42S3φ: C22/C1C22 ⊆ Aut C841684C84.47C2^2336,189
C84.48C22 = S3×C7×Q8φ: C22/C1C22 ⊆ Aut C841684C84.48C2^2336,190
C84.49C22 = C7×Q83S3φ: C22/C1C22 ⊆ Aut C841684C84.49C2^2336,191
C84.50C22 = C8⋊D21φ: C22/C2C2 ⊆ Aut C841682C84.50C2^2336,92
C84.51C22 = D168φ: C22/C2C2 ⊆ Aut C841682+C84.51C2^2336,93
C84.52C22 = Dic84φ: C22/C2C2 ⊆ Aut C843362-C84.52C2^2336,94
C84.53C22 = C2×Dic42φ: C22/C2C2 ⊆ Aut C84336C84.53C2^2336,194
C84.54C22 = C8×D21φ: C22/C2C2 ⊆ Aut C841682C84.54C2^2336,90
C84.55C22 = C56⋊S3φ: C22/C2C2 ⊆ Aut C841682C84.55C2^2336,91
C84.56C22 = C2×C21⋊C8φ: C22/C2C2 ⊆ Aut C84336C84.56C2^2336,95
C84.57C22 = C84.C4φ: C22/C2C2 ⊆ Aut C841682C84.57C2^2336,96
C84.58C22 = D8411C2φ: C22/C2C2 ⊆ Aut C841682C84.58C2^2336,197
C84.59C22 = C3×C56⋊C2φ: C22/C2C2 ⊆ Aut C841682C84.59C2^2336,60
C84.60C22 = C3×D56φ: C22/C2C2 ⊆ Aut C841682C84.60C2^2336,61
C84.61C22 = C3×Dic28φ: C22/C2C2 ⊆ Aut C843362C84.61C2^2336,62
C84.62C22 = C6×Dic14φ: C22/C2C2 ⊆ Aut C84336C84.62C2^2336,174
C84.63C22 = C3×C4○D28φ: C22/C2C2 ⊆ Aut C841682C84.63C2^2336,177
C84.64C22 = D7×C24φ: C22/C2C2 ⊆ Aut C841682C84.64C2^2336,58
C84.65C22 = C3×C8⋊D7φ: C22/C2C2 ⊆ Aut C841682C84.65C2^2336,59
C84.66C22 = C6×C7⋊C8φ: C22/C2C2 ⊆ Aut C84336C84.66C2^2336,63
C84.67C22 = C3×C4.Dic7φ: C22/C2C2 ⊆ Aut C841682C84.67C2^2336,64
C84.68C22 = C7×C24⋊C2φ: C22/C2C2 ⊆ Aut C841682C84.68C2^2336,76
C84.69C22 = C7×D24φ: C22/C2C2 ⊆ Aut C841682C84.69C2^2336,77
C84.70C22 = C7×Dic12φ: C22/C2C2 ⊆ Aut C843362C84.70C2^2336,78
C84.71C22 = C14×Dic6φ: C22/C2C2 ⊆ Aut C84336C84.71C2^2336,184
C84.72C22 = C7×C4○D12φ: C22/C2C2 ⊆ Aut C841682C84.72C2^2336,187
C84.73C22 = S3×C56φ: C22/C2C2 ⊆ Aut C841682C84.73C2^2336,74
C84.74C22 = C7×C8⋊S3φ: C22/C2C2 ⊆ Aut C841682C84.74C2^2336,75
C84.75C22 = C14×C3⋊C8φ: C22/C2C2 ⊆ Aut C84336C84.75C2^2336,79
C84.76C22 = C7×C4.Dic3φ: C22/C2C2 ⊆ Aut C841682C84.76C2^2336,80
C84.77C22 = D8×C21φ: C22/C2C2 ⊆ Aut C841682C84.77C2^2336,111
C84.78C22 = SD16×C21φ: C22/C2C2 ⊆ Aut C841682C84.78C2^2336,112
C84.79C22 = Q16×C21φ: C22/C2C2 ⊆ Aut C843362C84.79C2^2336,113
C84.80C22 = Q8×C42φ: C22/C2C2 ⊆ Aut C84336C84.80C2^2336,206
C84.81C22 = C4○D4×C21φ: C22/C2C2 ⊆ Aut C841682C84.81C2^2336,207
C84.82C22 = M4(2)×C21central extension (φ=1)1682C84.82C2^2336,110

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