Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14273746 | C2 | semidirect |
| 2. C2×M16×D59 | C2 | semidirect |
| 3. #16837912 | C2 | semidirect |
| 4. #16837661 | C2 | semidirect |
| 5. #16837660 | C2 | semidirect |
| 6. #16837652 | C2 | semidirect |
| 7. #16837647 | C2 | semidirect |
| 8. #16837646 | C2 | semidirect |
| 9. #16837437 | C2 | semidirect |
| 10. #16837395 | C2 | semidirect |
| 11. C59×#469 | C2 | semidirect |
| 15. C2×Dic236 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 31. #14273660 | C22 | semidirect |
| 32. #14273659 | C22 | semidirect |
| 33. #14273652 | C22 | semidirect |
| 34. #14273650 | C22 | semidirect |
| 35. #14273648 | C22 | semidirect |
| 36. C2×D8×C59 | C22 | semidirect |
| 39. #106×C59 | C22 | semidirect |
| 40. #102×C59 | C22 | semidirect |
| 80. C8×D59 | D4 | semidirect |
| 147. #469 | D59 | semidirect |
| 152. C59 | #3054 | semidirect |
| 158. C2×D8 | C2×D59 | semidirect |
| 177. #106 | C2×D59 | semidirect |
| 181. #102 | C2×D59 | semidirect |