Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
406 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838125 | C2 | semidirect |
| 2. #16837789 | C2 | semidirect |
| 3. #16837774 | C2 | semidirect |
| 4. #16837617 | C2 | semidirect |
| 5. #16837607 | C2 | semidirect |
| 6. #16837599 | C2 | semidirect |
| 7. #16837594 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837502 | C2 | semidirect |
| 10. C4×#11745669 | C2 | semidirect |
| 11. C59×#550 | C2 | semidirect |
| 106. C59⋊C8 | #41 | semidirect |
| 134. #550 | D59 | semidirect |
| 144. C59 | #3397 | semidirect |