Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838112 | C2 | semidirect |
| 2. #16837766 | C2 | semidirect |
| 3. #16837748 | C2 | semidirect |
| 4. #16837702 | C2 | semidirect |
| 5. #16837692 | C2 | semidirect |
| 6. #16837594 | C2 | semidirect |
| 7. #16837594 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837512 | C2 | semidirect |
| 10. C4×#11745669 | C2 | semidirect |
| 11. C59×#550 | C2 | semidirect |
| 97. D236 | #41 | semidirect |
| 131. #550 | D59 | semidirect |
| 141. C59 | #3366 | semidirect |