Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 1. #16838102 | C2 | semidirect |
| 2. #16837804 | C2 | semidirect |
| 3. #16837724 | C2 | semidirect |
| 4. #16837714 | C2 | semidirect |
| 5. #16837702 | C2 | semidirect |
| 6. #16837652 | C2 | semidirect |
| 7. #16837481 | C2 | semidirect |
| 8. #16837443 | C2 | semidirect |
| 9. C4×D8×C59 | C2 | semidirect |
| 109. C4×D8 | D59 | semidirect |
| 112. C59 | #3355 | semidirect |