Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #16838007 | C2 | semidirect |
| 2. #16837801 | C2 | semidirect |
| 3. #16837778 | C2 | semidirect |
| 4. #16837768 | C2 | semidirect |
| 5. #16837766 | C2 | semidirect |
| 6. #16837653 | C2 | semidirect |
| 7. #16837636 | C2 | semidirect |
| 8. #16837512 | C2 | semidirect |
| 9. C4×#11745669 | C2 | semidirect |
| 10. #16837358 | C2 | semidirect |
| 11. C59×#540 | C2 | semidirect |
| 116. #540 | D59 | semidirect |
| 126. C59 | #3176 | semidirect |