Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
438 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 438 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. #16837952 | C2 | semidirect |
| 2. #16837778 | C2 | semidirect |
| 3. #16837776 | C2 | semidirect |
| 4. #16837752 | C2 | semidirect |
| 5. #16837748 | C2 | semidirect |
| 6. #16837614 | C2 | semidirect |
| 7. #16837547 | C2 | semidirect |
| 8. #16837455 | C2 | semidirect |
| 9. C59×#532 | C2 | semidirect |
| 122. #532 | D59 | semidirect |
| 130. C59 | #3207 | semidirect |