Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#10621873 | C2 | semidirect |
| 2. C2×#13063331 | C2 | semidirect |
| 3. #14583475 | C2 | semidirect |
| 5. #14583146 | C2 | semidirect |
| 6. #14583129 | C2 | semidirect |
| 7. #14582907 | C2 | semidirect |
| 8. #14582903 | C2 | semidirect |
| 9. C43×#427 | C2 | semidirect |
| 18. C2×#10621872 | C22 | semidirect |
| 19. C2×C8×D43 | C22 | semidirect |
| 25. #13063305 | C22 | semidirect |
| 28. #13063248 | C22 | semidirect |
| 33. #107×C43 | C22 | semidirect |
| 34. #106×C43 | C22 | semidirect |
| 53. C2×C8×C43 | D4 | semidirect |
| 127. #427 | D43 | semidirect |
| 130. C43 | #3057 | semidirect |
| 152. #107 | C2×D43 | semidirect |
| 153. #106 | C2×D43 | semidirect |
| 180. C2×C8 | D172 | semidirect |