Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
416 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837739 | C2 | semidirect |
| 3. #16837736 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837641 | C2 | semidirect |
| 6. #16837559 | C2 | semidirect |
| 7. #16837556 | C2 | semidirect |
| 9. C59×#467 | C2 | semidirect |
| 12. C2×Dic236 | C22 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 23. #14273661 | C22 | semidirect |
| 24. #14273660 | C22 | semidirect |
| 25. #14273652 | C22 | semidirect |
| 26. #14273651 | C22 | semidirect |
| 27. #14273650 | C22 | semidirect |
| 30. C2×Q16×C59 | C22 | semidirect |
| 33. #107×C59 | C22 | semidirect |
| 34. #103×C59 | C22 | semidirect |
| 71. C22×D59 | Q16 | semidirect |
| 123. #467 | D59 | semidirect |
| 127. C59 | #3189 | semidirect |
| 132. C2×Q16 | C2×D59 | semidirect |
| 146. #107 | C2×D59 | semidirect |
| 150. #103 | C2×D59 | semidirect |