Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#11745671 | C2 | semidirect |
| 3. #16837976 | C2 | semidirect |
| 4. #16837876 | C2 | semidirect |
| 5. #16837620 | C2 | semidirect |
| 6. #16837606 | C2 | semidirect |
| 7. #16837430 | C2 | semidirect |
| 8. #16837396 | C2 | semidirect |
| 9. C59×#419 | C2 | semidirect |
| 18. #14273725 | C22 | semidirect |
| 19. #14273716 | C22 | semidirect |
| 26. Dic59⋊C8 | C22 | semidirect |
| 27. #14273650 | C22 | semidirect |
| 28. #14273647 | C22 | semidirect |
| 32. #103×C59 | C22 | semidirect |
| 124. #419 | D59 | semidirect |
| 126. C59 | #3042 | semidirect |
| 148. #103 | C2×D59 | semidirect |