Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
736 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 145 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. #16838238 | C2 | semidirect |
| 2. C2×#14273755 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837577 | C2 | semidirect |
| 5. #16837572 | C2 | semidirect |
| 6. #16837418 | C2 | semidirect |
| 7. C59×#413 | C2 | semidirect |
| 8. #14273775 | C22 | semidirect |
| 12. #14273772 | C22 | semidirect |
| 16. C22×D236 | C22 | semidirect |
| 18. #14273755 | C22 | semidirect |
| 21. #14273723 | C22 | semidirect |
| 22. #14273716 | C22 | semidirect |
| 25. #14273686 | C22 | semidirect |
| 26. #14273653 | C22 | semidirect |
| 28. C2×M16×C59 | C22 | semidirect |
| 29. #101×C59 | C22 | semidirect |
| 30. #100×C59 | C22 | semidirect |
| 53. #11745685 | D4 | semidirect |
| 59. C2×D236 | D4 | semidirect |
| 64. C2×Dic118 | D4 | semidirect |
| 141. #413 | D59 | semidirect |
| 142. C59 | #3021 | semidirect |
| 157. C2×M16 | C2×D59 | semidirect |
| 164. #101 | C2×D59 | semidirect |
| 165. #100 | C2×D59 | semidirect |