Direct product G=NxQ with N=C20 and Q=D4
Semidirect products G=N:Q with N=C20 and Q=D4
Non-split extensions G=N.Q with N=C20 and Q=D4
extension | φ:Q→Aut N | d | ρ | Label | ID |
C20.1D4 = D20:6C4 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.1D4 | 160,16 |
C20.2D4 = C10.Q16 | φ: D4/C2 → C22 ⊆ Aut C20 | 160 | | C20.2D4 | 160,17 |
C20.3D4 = C5:D16 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4+ | C20.3D4 | 160,33 |
C20.4D4 = D8.D5 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4- | C20.4D4 | 160,34 |
C20.5D4 = C5:SD32 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4+ | C20.5D4 | 160,35 |
C20.6D4 = C5:Q32 | φ: D4/C2 → C22 ⊆ Aut C20 | 160 | 4- | C20.6D4 | 160,36 |
C20.7D4 = D4:Dic5 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.7D4 | 160,39 |
C20.8D4 = C20.D4 | φ: D4/C2 → C22 ⊆ Aut C20 | 40 | 4 | C20.8D4 | 160,40 |
C20.9D4 = Q8:Dic5 | φ: D4/C2 → C22 ⊆ Aut C20 | 160 | | C20.9D4 | 160,42 |
C20.10D4 = C20.10D4 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4 | C20.10D4 | 160,43 |
C20.11D4 = D10:2Q8 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.11D4 | 160,118 |
C20.12D4 = C8:D10 | φ: D4/C2 → C22 ⊆ Aut C20 | 40 | 4+ | C20.12D4 | 160,129 |
C20.13D4 = C8.D10 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4- | C20.13D4 | 160,130 |
C20.14D4 = C2xD4:D5 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.14D4 | 160,152 |
C20.15D4 = D4.D10 | φ: D4/C2 → C22 ⊆ Aut C20 | 40 | 4 | C20.15D4 | 160,153 |
C20.16D4 = C2xD4.D5 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.16D4 | 160,154 |
C20.17D4 = C20.17D4 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.17D4 | 160,157 |
C20.18D4 = C2xQ8:D5 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.18D4 | 160,162 |
C20.19D4 = C20.C23 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | 4 | C20.19D4 | 160,163 |
C20.20D4 = C2xC5:Q16 | φ: D4/C2 → C22 ⊆ Aut C20 | 160 | | C20.20D4 | 160,164 |
C20.21D4 = Dic5:Q8 | φ: D4/C2 → C22 ⊆ Aut C20 | 160 | | C20.21D4 | 160,165 |
C20.22D4 = D10:3Q8 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.22D4 | 160,167 |
C20.23D4 = C20.23D4 | φ: D4/C2 → C22 ⊆ Aut C20 | 80 | | C20.23D4 | 160,168 |
C20.24D4 = D80 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2+ | C20.24D4 | 160,6 |
C20.25D4 = C16:D5 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2 | C20.25D4 | 160,7 |
C20.26D4 = Dic40 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | 2- | C20.26D4 | 160,8 |
C20.27D4 = C20:2Q8 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | | C20.27D4 | 160,90 |
C20.28D4 = C4.D20 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.28D4 | 160,96 |
C20.29D4 = C2xC40:C2 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.29D4 | 160,123 |
C20.30D4 = C2xD40 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.30D4 | 160,124 |
C20.31D4 = C2xDic20 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | | C20.31D4 | 160,126 |
C20.32D4 = C20:3C8 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | | C20.32D4 | 160,11 |
C20.33D4 = D20:4C4 | φ: D4/C4 → C2 ⊆ Aut C20 | 40 | 2 | C20.33D4 | 160,12 |
C20.34D4 = C40.6C4 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2 | C20.34D4 | 160,26 |
C20.35D4 = D40:7C2 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2 | C20.35D4 | 160,125 |
C20.36D4 = C5xD16 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2 | C20.36D4 | 160,61 |
C20.37D4 = C5xSD32 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | 2 | C20.37D4 | 160,62 |
C20.38D4 = C5xQ32 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | 2 | C20.38D4 | 160,63 |
C20.39D4 = C5xC4.4D4 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.39D4 | 160,185 |
C20.40D4 = C5xC4:Q8 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | | C20.40D4 | 160,189 |
C20.41D4 = C10xD8 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.41D4 | 160,193 |
C20.42D4 = C10xSD16 | φ: D4/C4 → C2 ⊆ Aut C20 | 80 | | C20.42D4 | 160,194 |
C20.43D4 = C10xQ16 | φ: D4/C4 → C2 ⊆ Aut C20 | 160 | | C20.43D4 | 160,195 |
C20.44D4 = C20.44D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 160 | | C20.44D4 | 160,23 |
C20.45D4 = D20:5C4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.45D4 | 160,28 |
C20.46D4 = C20.46D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4+ | C20.46D4 | 160,30 |
C20.47D4 = C4.12D20 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4- | C20.47D4 | 160,31 |
C20.48D4 = C20.48D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.48D4 | 160,145 |
C20.49D4 = D4:D10 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4+ | C20.49D4 | 160,170 |
C20.50D4 = D4.9D10 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4- | C20.50D4 | 160,172 |
C20.51D4 = C20.8Q8 | φ: D4/C22 → C2 ⊆ Aut C20 | 160 | | C20.51D4 | 160,21 |
C20.52D4 = D10:1C8 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.52D4 | 160,27 |
C20.53D4 = C20.53D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4 | C20.53D4 | 160,29 |
C20.54D4 = D20:7C4 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4 | C20.54D4 | 160,32 |
C20.55D4 = C20.55D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.55D4 | 160,37 |
C20.56D4 = D4:2Dic5 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4 | C20.56D4 | 160,44 |
C20.57D4 = D4.8D10 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4 | C20.57D4 | 160,171 |
C20.58D4 = C5xC4.D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4 | C20.58D4 | 160,50 |
C20.59D4 = C5xC4.10D4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4 | C20.59D4 | 160,51 |
C20.60D4 = C5xD4:C4 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.60D4 | 160,52 |
C20.61D4 = C5xQ8:C4 | φ: D4/C22 → C2 ⊆ Aut C20 | 160 | | C20.61D4 | 160,53 |
C20.62D4 = C5xC22:Q8 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | | C20.62D4 | 160,183 |
C20.63D4 = C5xC8:C22 | φ: D4/C22 → C2 ⊆ Aut C20 | 40 | 4 | C20.63D4 | 160,197 |
C20.64D4 = C5xC8.C22 | φ: D4/C22 → C2 ⊆ Aut C20 | 80 | 4 | C20.64D4 | 160,198 |
C20.65D4 = C5xC22:C8 | central extension (φ=1) | 80 | | C20.65D4 | 160,48 |
C20.66D4 = C5xC4wrC2 | central extension (φ=1) | 40 | 2 | C20.66D4 | 160,54 |
C20.67D4 = C5xC4:C8 | central extension (φ=1) | 160 | | C20.67D4 | 160,55 |
C20.68D4 = C5xC8.C4 | central extension (φ=1) | 80 | 2 | C20.68D4 | 160,58 |
C20.69D4 = C5xC4oD8 | central extension (φ=1) | 80 | 2 | C20.69D4 | 160,196 |
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