Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837955 | C2 | semidirect |
| 3. #16837763 | C2 | semidirect |
| 4. #16837758 | C2 | semidirect |
| 5. #16837411 | C2 | semidirect |
| 8. M16×Dic59 | C2 | semidirect |
| 9. C59×#419 | C2 | semidirect |
| 12. #14273726 | C22 | semidirect |
| 13. #14273718 | C22 | semidirect |
| 22. #14273651 | C22 | semidirect |
| 25. #14273637 | C22 | semidirect |
| 26. C8×Dic59 | C22 | semidirect |
| 30. #103×C59 | C22 | semidirect |
| 110. #419 | D59 | semidirect |
| 114. C59 | #3140 | semidirect |
| 131. #103 | C2×D59 | semidirect |