Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14273707 | C2 | semidirect |
| 3. #16837746 | C2 | semidirect |
| 4. #16837737 | C2 | semidirect |
| 5. #16837661 | C2 | semidirect |
| 6. #16837647 | C2 | semidirect |
| 7. #16837565 | C2 | semidirect |
| 8. #16837560 | C2 | semidirect |
| 9. #16837540 | C2 | semidirect |
| 10. #16837364 | C2 | semidirect |
| 11. C59×#481 | C2 | semidirect |
| 15. C2×Dic236 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 32. #14273660 | C22 | semidirect |
| 33. #14273652 | C22 | semidirect |
| 34. #14273650 | C22 | semidirect |
| 35. #14273650 | C22 | semidirect |
| 40. #106×C59 | C22 | semidirect |
| 41. #102×C59 | C22 | semidirect |
| 154. #481 | D59 | semidirect |
| 161. C59 | #3196 | semidirect |
| 185. #106 | C2×D59 | semidirect |
| 189. #102 | C2×D59 | semidirect |