Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C2×#13063347 | C2 | semidirect |
| 2. C22×#10621872 | C2 | semidirect |
| 3. #14583411 | C2 | semidirect |
| 4. #14583158 | C2 | semidirect |
| 5. #14583153 | C2 | semidirect |
| 6. #14583146 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. C43×#427 | C2 | semidirect |
| 12. C2×Dic172 | C22 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 14. C2×D344 | C22 | semidirect |
| 24. #13063248 | C22 | semidirect |
| 25. #13063245 | C22 | semidirect |
| 28. #107×C43 | C22 | semidirect |
| 29. #106×C43 | C22 | semidirect |
| 44. C2×C8×C43 | D4 | semidirect |
| 112. #427 | D43 | semidirect |
| 114. C43 | #3054 | semidirect |
| 132. #107 | C2×D43 | semidirect |
| 133. #106 | C2×D43 | semidirect |
| 157. C2×C8 | D172 | semidirect |