Extensions 1→N→G→Q→1 with N=C20 and Q=D4

Direct product G=NxQ with N=C20 and Q=D4
dρLabelID
D4xC2080D4xC20160,179

Semidirect products G=N:Q with N=C20 and Q=D4
extensionφ:Q→Aut NdρLabelID
C20:1D4 = C4:D20φ: D4/C2C22 ⊆ Aut C2080C20:1D4160,116
C20:2D4 = C20:2D4φ: D4/C2C22 ⊆ Aut C2080C20:2D4160,159
C20:3D4 = C20:D4φ: D4/C2C22 ⊆ Aut C2080C20:3D4160,161
C20:4D4 = C20:4D4φ: D4/C4C2 ⊆ Aut C2080C20:4D4160,95
C20:5D4 = C4xD20φ: D4/C4C2 ⊆ Aut C2080C20:5D4160,94
C20:6D4 = C5xC4:1D4φ: D4/C4C2 ⊆ Aut C2080C20:6D4160,188
C20:7D4 = C20:7D4φ: D4/C22C2 ⊆ Aut C2080C20:7D4160,151
C20:8D4 = C4xC5:D4φ: D4/C22C2 ⊆ Aut C2080C20:8D4160,149
C20:9D4 = C5xC4:D4φ: D4/C22C2 ⊆ Aut C2080C20:9D4160,182

Non-split extensions G=N.Q with N=C20 and Q=D4
extensionφ:Q→Aut NdρLabelID
C20.1D4 = D20:6C4φ: D4/C2C22 ⊆ Aut C2080C20.1D4160,16
C20.2D4 = C10.Q16φ: D4/C2C22 ⊆ Aut C20160C20.2D4160,17
C20.3D4 = C5:D16φ: D4/C2C22 ⊆ Aut C20804+C20.3D4160,33
C20.4D4 = D8.D5φ: D4/C2C22 ⊆ Aut C20804-C20.4D4160,34
C20.5D4 = C5:SD32φ: D4/C2C22 ⊆ Aut C20804+C20.5D4160,35
C20.6D4 = C5:Q32φ: D4/C2C22 ⊆ Aut C201604-C20.6D4160,36
C20.7D4 = D4:Dic5φ: D4/C2C22 ⊆ Aut C2080C20.7D4160,39
C20.8D4 = C20.D4φ: D4/C2C22 ⊆ Aut C20404C20.8D4160,40
C20.9D4 = Q8:Dic5φ: D4/C2C22 ⊆ Aut C20160C20.9D4160,42
C20.10D4 = C20.10D4φ: D4/C2C22 ⊆ Aut C20804C20.10D4160,43
C20.11D4 = D10:2Q8φ: D4/C2C22 ⊆ Aut C2080C20.11D4160,118
C20.12D4 = C8:D10φ: D4/C2C22 ⊆ Aut C20404+C20.12D4160,129
C20.13D4 = C8.D10φ: D4/C2C22 ⊆ Aut C20804-C20.13D4160,130
C20.14D4 = C2xD4:D5φ: D4/C2C22 ⊆ Aut C2080C20.14D4160,152
C20.15D4 = D4.D10φ: D4/C2C22 ⊆ Aut C20404C20.15D4160,153
C20.16D4 = C2xD4.D5φ: D4/C2C22 ⊆ Aut C2080C20.16D4160,154
C20.17D4 = C20.17D4φ: D4/C2C22 ⊆ Aut C2080C20.17D4160,157
C20.18D4 = C2xQ8:D5φ: D4/C2C22 ⊆ Aut C2080C20.18D4160,162
C20.19D4 = C20.C23φ: D4/C2C22 ⊆ Aut C20804C20.19D4160,163
C20.20D4 = C2xC5:Q16φ: D4/C2C22 ⊆ Aut C20160C20.20D4160,164
C20.21D4 = Dic5:Q8φ: D4/C2C22 ⊆ Aut C20160C20.21D4160,165
C20.22D4 = D10:3Q8φ: D4/C2C22 ⊆ Aut C2080C20.22D4160,167
C20.23D4 = C20.23D4φ: D4/C2C22 ⊆ Aut C2080C20.23D4160,168
C20.24D4 = D80φ: D4/C4C2 ⊆ Aut C20802+C20.24D4160,6
C20.25D4 = C16:D5φ: D4/C4C2 ⊆ Aut C20802C20.25D4160,7
C20.26D4 = Dic40φ: D4/C4C2 ⊆ Aut C201602-C20.26D4160,8
C20.27D4 = C20:2Q8φ: D4/C4C2 ⊆ Aut C20160C20.27D4160,90
C20.28D4 = C4.D20φ: D4/C4C2 ⊆ Aut C2080C20.28D4160,96
C20.29D4 = C2xC40:C2φ: D4/C4C2 ⊆ Aut C2080C20.29D4160,123
C20.30D4 = C2xD40φ: D4/C4C2 ⊆ Aut C2080C20.30D4160,124
C20.31D4 = C2xDic20φ: D4/C4C2 ⊆ Aut C20160C20.31D4160,126
C20.32D4 = C20:3C8φ: D4/C4C2 ⊆ Aut C20160C20.32D4160,11
C20.33D4 = D20:4C4φ: D4/C4C2 ⊆ Aut C20402C20.33D4160,12
C20.34D4 = C40.6C4φ: D4/C4C2 ⊆ Aut C20802C20.34D4160,26
C20.35D4 = D40:7C2φ: D4/C4C2 ⊆ Aut C20802C20.35D4160,125
C20.36D4 = C5xD16φ: D4/C4C2 ⊆ Aut C20802C20.36D4160,61
C20.37D4 = C5xSD32φ: D4/C4C2 ⊆ Aut C20802C20.37D4160,62
C20.38D4 = C5xQ32φ: D4/C4C2 ⊆ Aut C201602C20.38D4160,63
C20.39D4 = C5xC4.4D4φ: D4/C4C2 ⊆ Aut C2080C20.39D4160,185
C20.40D4 = C5xC4:Q8φ: D4/C4C2 ⊆ Aut C20160C20.40D4160,189
C20.41D4 = C10xD8φ: D4/C4C2 ⊆ Aut C2080C20.41D4160,193
C20.42D4 = C10xSD16φ: D4/C4C2 ⊆ Aut C2080C20.42D4160,194
C20.43D4 = C10xQ16φ: D4/C4C2 ⊆ Aut C20160C20.43D4160,195
C20.44D4 = C20.44D4φ: D4/C22C2 ⊆ Aut C20160C20.44D4160,23
C20.45D4 = D20:5C4φ: D4/C22C2 ⊆ Aut C2080C20.45D4160,28
C20.46D4 = C20.46D4φ: D4/C22C2 ⊆ Aut C20404+C20.46D4160,30
C20.47D4 = C4.12D20φ: D4/C22C2 ⊆ Aut C20804-C20.47D4160,31
C20.48D4 = C20.48D4φ: D4/C22C2 ⊆ Aut C2080C20.48D4160,145
C20.49D4 = D4:D10φ: D4/C22C2 ⊆ Aut C20404+C20.49D4160,170
C20.50D4 = D4.9D10φ: D4/C22C2 ⊆ Aut C20804-C20.50D4160,172
C20.51D4 = C20.8Q8φ: D4/C22C2 ⊆ Aut C20160C20.51D4160,21
C20.52D4 = D10:1C8φ: D4/C22C2 ⊆ Aut C2080C20.52D4160,27
C20.53D4 = C20.53D4φ: D4/C22C2 ⊆ Aut C20804C20.53D4160,29
C20.54D4 = D20:7C4φ: D4/C22C2 ⊆ Aut C20404C20.54D4160,32
C20.55D4 = C20.55D4φ: D4/C22C2 ⊆ Aut C2080C20.55D4160,37
C20.56D4 = D4:2Dic5φ: D4/C22C2 ⊆ Aut C20404C20.56D4160,44
C20.57D4 = D4.8D10φ: D4/C22C2 ⊆ Aut C20804C20.57D4160,171
C20.58D4 = C5xC4.D4φ: D4/C22C2 ⊆ Aut C20404C20.58D4160,50
C20.59D4 = C5xC4.10D4φ: D4/C22C2 ⊆ Aut C20804C20.59D4160,51
C20.60D4 = C5xD4:C4φ: D4/C22C2 ⊆ Aut C2080C20.60D4160,52
C20.61D4 = C5xQ8:C4φ: D4/C22C2 ⊆ Aut C20160C20.61D4160,53
C20.62D4 = C5xC22:Q8φ: D4/C22C2 ⊆ Aut C2080C20.62D4160,183
C20.63D4 = C5xC8:C22φ: D4/C22C2 ⊆ Aut C20404C20.63D4160,197
C20.64D4 = C5xC8.C22φ: D4/C22C2 ⊆ Aut C20804C20.64D4160,198
C20.65D4 = C5xC22:C8central extension (φ=1)80C20.65D4160,48
C20.66D4 = C5xC4wrC2central extension (φ=1)402C20.66D4160,54
C20.67D4 = C5xC4:C8central extension (φ=1)160C20.67D4160,55
C20.68D4 = C5xC8.C4central extension (φ=1)802C20.68D4160,58
C20.69D4 = C5xC4oD8central extension (φ=1)802C20.69D4160,196

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