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Extensions 1→N→G→Q→1 with N=C40 and Q=C22

Direct product G=N×Q with N=C40 and Q=C22
dρLabelID
C22×C40160C2^2xC40160,190

Semidirect products G=N:Q with N=C40 and Q=C22
extensionφ:Q→Aut NdρLabelID
C40⋊1C22 = C8⋊D10φ: C22/C1 → C22 ⊆ Aut C40404+C40:1C2^2160,129
C40⋊2C22 = D5×D8φ: C22/C1 → C22 ⊆ Aut C40404+C40:2C2^2160,131
C40⋊3C22 = D40⋊C2φ: C22/C1 → C22 ⊆ Aut C40404+C40:3C2^2160,135
C40⋊4C22 = D8⋊D5φ: C22/C1 → C22 ⊆ Aut C40404C40:4C2^2160,132
C40⋊5C22 = D5×SD16φ: C22/C1 → C22 ⊆ Aut C40404C40:5C2^2160,134
C40⋊6C22 = D5×M4(2)φ: C22/C1 → C22 ⊆ Aut C40404C40:6C2^2160,127
C40⋊7C22 = C5×C8⋊C22φ: C22/C1 → C22 ⊆ Aut C40404C40:7C2^2160,197
C40⋊8C22 = C2×D40φ: C22/C2 → C2 ⊆ Aut C4080C40:8C2^2160,124
C40⋊9C22 = C2×C40⋊C2φ: C22/C2 → C2 ⊆ Aut C4080C40:9C2^2160,123
C40⋊10C22 = D5×C2×C8φ: C22/C2 → C2 ⊆ Aut C4080C40:10C2^2160,120
C40⋊11C22 = C2×C8⋊D5φ: C22/C2 → C2 ⊆ Aut C4080C40:11C2^2160,121
C40⋊12C22 = C10×D8φ: C22/C2 → C2 ⊆ Aut C4080C40:12C2^2160,193
C40⋊13C22 = C10×SD16φ: C22/C2 → C2 ⊆ Aut C4080C40:13C2^2160,194
C40⋊14C22 = C10×M4(2)φ: C22/C2 → C2 ⊆ Aut C4080C40:14C2^2160,191

Non-split extensions G=N.Q with N=C40 and Q=C22
extensionφ:Q→Aut NdρLabelID
C40.1C22 = C8.D10φ: C22/C1 → C22 ⊆ Aut C40804-C40.1C2^2160,130
C40.2C22 = C5⋊D16φ: C22/C1 → C22 ⊆ Aut C40804+C40.2C2^2160,33
C40.3C22 = D8.D5φ: C22/C1 → C22 ⊆ Aut C40804-C40.3C2^2160,34
C40.4C22 = C5⋊SD32φ: C22/C1 → C22 ⊆ Aut C40804+C40.4C2^2160,35
C40.5C22 = C5⋊Q32φ: C22/C1 → C22 ⊆ Aut C401604-C40.5C2^2160,36
C40.6C22 = D8⋊3D5φ: C22/C1 → C22 ⊆ Aut C40804-C40.6C2^2160,133
C40.7C22 = D5×Q16φ: C22/C1 → C22 ⊆ Aut C40804-C40.7C2^2160,138
C40.8C22 = Q8.D10φ: C22/C1 → C22 ⊆ Aut C40804+C40.8C2^2160,140
C40.9C22 = SD16⋊D5φ: C22/C1 → C22 ⊆ Aut C40804-C40.9C2^2160,136
C40.10C22 = Q16⋊D5φ: C22/C1 → C22 ⊆ Aut C40804C40.10C2^2160,139
C40.11C22 = SD16⋊3D5φ: C22/C1 → C22 ⊆ Aut C40804C40.11C2^2160,137
C40.12C22 = D20.2C4φ: C22/C1 → C22 ⊆ Aut C40804C40.12C2^2160,128
C40.13C22 = C5×C8.C22φ: C22/C1 → C22 ⊆ Aut C40804C40.13C2^2160,198
C40.14C22 = D80φ: C22/C2 → C2 ⊆ Aut C40802+C40.14C2^2160,6
C40.15C22 = C16⋊D5φ: C22/C2 → C2 ⊆ Aut C40802C40.15C2^2160,7
C40.16C22 = Dic40φ: C22/C2 → C2 ⊆ Aut C401602-C40.16C2^2160,8
C40.17C22 = D40⋊7C2φ: C22/C2 → C2 ⊆ Aut C40802C40.17C2^2160,125
C40.18C22 = C2×Dic20φ: C22/C2 → C2 ⊆ Aut C40160C40.18C2^2160,126
C40.19C22 = D5×C16φ: C22/C2 → C2 ⊆ Aut C40802C40.19C2^2160,4
C40.20C22 = C80⋊C2φ: C22/C2 → C2 ⊆ Aut C40802C40.20C2^2160,5
C40.21C22 = C2×C5⋊2C16φ: C22/C2 → C2 ⊆ Aut C40160C40.21C2^2160,18
C40.22C22 = C20.4C8φ: C22/C2 → C2 ⊆ Aut C40802C40.22C2^2160,19
C40.23C22 = D20.3C4φ: C22/C2 → C2 ⊆ Aut C40802C40.23C2^2160,122
C40.24C22 = C5×D16φ: C22/C2 → C2 ⊆ Aut C40802C40.24C2^2160,61
C40.25C22 = C5×SD32φ: C22/C2 → C2 ⊆ Aut C40802C40.25C2^2160,62
C40.26C22 = C5×Q32φ: C22/C2 → C2 ⊆ Aut C401602C40.26C2^2160,63
C40.27C22 = C10×Q16φ: C22/C2 → C2 ⊆ Aut C40160C40.27C2^2160,195
C40.28C22 = C5×C4○D8φ: C22/C2 → C2 ⊆ Aut C40802C40.28C2^2160,196
C40.29C22 = C5×M5(2)central extension (φ=1)802C40.29C2^2160,60
C40.30C22 = C5×C8○D4central extension (φ=1)802C40.30C2^2160,192

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