Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#13063283 | C2 | semidirect |
| 3. #14583239 | C2 | semidirect |
| 4. #14583238 | C2 | semidirect |
| 5. #14583222 | C2 | semidirect |
| 6. #14583221 | C2 | semidirect |
| 7. #14582941 | C2 | semidirect |
| 8. #14582939 | C2 | semidirect |
| 9. #14582900 | C2 | semidirect |
| 10. #14582862 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 30. #13063259 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. #13063257 | C22 | semidirect |
| 33. #13063256 | C22 | semidirect |
| 34. #13063249 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 42. #102×C43 | C22 | semidirect |
| 162. #417 | D43 | semidirect |
| 164. C43 | #3093 | semidirect |
| 191. #103 | C2×D43 | semidirect |
| 193. #102 | C2×D43 | semidirect |