Direct product G=NxQ with N=C52 and Q=D4
Semidirect products G=N:Q with N=C52 and Q=D4
Non-split extensions G=N.Q with N=C52 and Q=D4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C52.1D4 = D52:6C4 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.1D4 | 416,16 |
C52.2D4 = C26.Q16 | φ: D4/C2 → C22 ⊆ Aut C52 | 416 | | C52.2D4 | 416,17 |
C52.3D4 = C13:D16 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4+ | C52.3D4 | 416,33 |
C52.4D4 = D8.D13 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4- | C52.4D4 | 416,34 |
C52.5D4 = C8.6D26 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4+ | C52.5D4 | 416,35 |
C52.6D4 = C13:Q32 | φ: D4/C2 → C22 ⊆ Aut C52 | 416 | 4- | C52.6D4 | 416,36 |
C52.7D4 = D4:Dic13 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.7D4 | 416,39 |
C52.8D4 = C52.D4 | φ: D4/C2 → C22 ⊆ Aut C52 | 104 | 4 | C52.8D4 | 416,40 |
C52.9D4 = Q8:Dic13 | φ: D4/C2 → C22 ⊆ Aut C52 | 416 | | C52.9D4 | 416,42 |
C52.10D4 = C52.10D4 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4 | C52.10D4 | 416,43 |
C52.11D4 = D26:2Q8 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.11D4 | 416,118 |
C52.12D4 = C8:D26 | φ: D4/C2 → C22 ⊆ Aut C52 | 104 | 4+ | C52.12D4 | 416,129 |
C52.13D4 = C8.D26 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4- | C52.13D4 | 416,130 |
C52.14D4 = C2xD4:D13 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.14D4 | 416,152 |
C52.15D4 = D52:6C22 | φ: D4/C2 → C22 ⊆ Aut C52 | 104 | 4 | C52.15D4 | 416,153 |
C52.16D4 = C2xD4.D13 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.16D4 | 416,154 |
C52.17D4 = C52.17D4 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.17D4 | 416,157 |
C52.18D4 = C2xQ8:D13 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.18D4 | 416,162 |
C52.19D4 = Q8.D26 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | 4 | C52.19D4 | 416,163 |
C52.20D4 = C2xC13:Q16 | φ: D4/C2 → C22 ⊆ Aut C52 | 416 | | C52.20D4 | 416,164 |
C52.21D4 = Dic13:Q8 | φ: D4/C2 → C22 ⊆ Aut C52 | 416 | | C52.21D4 | 416,165 |
C52.22D4 = D26:3Q8 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.22D4 | 416,167 |
C52.23D4 = C52.23D4 | φ: D4/C2 → C22 ⊆ Aut C52 | 208 | | C52.23D4 | 416,168 |
C52.24D4 = D208 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2+ | C52.24D4 | 416,6 |
C52.25D4 = C16:D13 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2 | C52.25D4 | 416,7 |
C52.26D4 = Dic104 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | 2- | C52.26D4 | 416,8 |
C52.27D4 = C52:2Q8 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | | C52.27D4 | 416,90 |
C52.28D4 = C4.D52 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.28D4 | 416,96 |
C52.29D4 = C2xC104:C2 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.29D4 | 416,123 |
C52.30D4 = C2xD104 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.30D4 | 416,124 |
C52.31D4 = C2xDic52 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | | C52.31D4 | 416,126 |
C52.32D4 = C52:3C8 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | | C52.32D4 | 416,11 |
C52.33D4 = D52:4C4 | φ: D4/C4 → C2 ⊆ Aut C52 | 104 | 2 | C52.33D4 | 416,12 |
C52.34D4 = C104.6C4 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2 | C52.34D4 | 416,26 |
C52.35D4 = D104:7C2 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2 | C52.35D4 | 416,125 |
C52.36D4 = C13xD16 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2 | C52.36D4 | 416,61 |
C52.37D4 = C13xSD32 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | 2 | C52.37D4 | 416,62 |
C52.38D4 = C13xQ32 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | 2 | C52.38D4 | 416,63 |
C52.39D4 = C13xC4.4D4 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.39D4 | 416,185 |
C52.40D4 = C13xC4:Q8 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | | C52.40D4 | 416,189 |
C52.41D4 = D8xC26 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.41D4 | 416,193 |
C52.42D4 = SD16xC26 | φ: D4/C4 → C2 ⊆ Aut C52 | 208 | | C52.42D4 | 416,194 |
C52.43D4 = Q16xC26 | φ: D4/C4 → C2 ⊆ Aut C52 | 416 | | C52.43D4 | 416,195 |
C52.44D4 = C52.44D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 416 | | C52.44D4 | 416,23 |
C52.45D4 = D52:5C4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.45D4 | 416,28 |
C52.46D4 = C52.46D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4+ | C52.46D4 | 416,30 |
C52.47D4 = C4.12D52 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4- | C52.47D4 | 416,31 |
C52.48D4 = C52.48D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.48D4 | 416,145 |
C52.49D4 = D4:D26 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4+ | C52.49D4 | 416,170 |
C52.50D4 = D4.9D26 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4- | C52.50D4 | 416,172 |
C52.51D4 = C52.8Q8 | φ: D4/C22 → C2 ⊆ Aut C52 | 416 | | C52.51D4 | 416,21 |
C52.52D4 = D26:1C8 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.52D4 | 416,27 |
C52.53D4 = C52.53D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4 | C52.53D4 | 416,29 |
C52.54D4 = D52:7C4 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4 | C52.54D4 | 416,32 |
C52.55D4 = C52.55D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.55D4 | 416,37 |
C52.56D4 = C52.56D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4 | C52.56D4 | 416,44 |
C52.57D4 = C52.C23 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4 | C52.57D4 | 416,171 |
C52.58D4 = C13xC4.D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4 | C52.58D4 | 416,50 |
C52.59D4 = C13xC4.10D4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4 | C52.59D4 | 416,51 |
C52.60D4 = C13xD4:C4 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.60D4 | 416,52 |
C52.61D4 = C13xQ8:C4 | φ: D4/C22 → C2 ⊆ Aut C52 | 416 | | C52.61D4 | 416,53 |
C52.62D4 = C13xC22:Q8 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | | C52.62D4 | 416,183 |
C52.63D4 = C13xC8:C22 | φ: D4/C22 → C2 ⊆ Aut C52 | 104 | 4 | C52.63D4 | 416,197 |
C52.64D4 = C13xC8.C22 | φ: D4/C22 → C2 ⊆ Aut C52 | 208 | 4 | C52.64D4 | 416,198 |
C52.65D4 = C13xC22:C8 | central extension (φ=1) | 208 | | C52.65D4 | 416,48 |
C52.66D4 = C13xC4wrC2 | central extension (φ=1) | 104 | 2 | C52.66D4 | 416,54 |
C52.67D4 = C13xC4:C8 | central extension (φ=1) | 416 | | C52.67D4 | 416,55 |
C52.68D4 = C13xC8.C4 | central extension (φ=1) | 208 | 2 | C52.68D4 | 416,58 |
C52.69D4 = C13xC4oD8 | central extension (φ=1) | 208 | 2 | C52.69D4 | 416,196 |
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