Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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. C4×#11745685 | C2 | semidirect |
| 2. #16837723 | C2 | semidirect |
| 3. #16837684 | C2 | semidirect |
| 4. #16837679 | C2 | semidirect |
| 5. #16837599 | C2 | semidirect |
| 6. #16837594 | C2 | semidirect |
| 7. #16837545 | C2 | semidirect |
| 8. #16837512 | C2 | semidirect |
| 9. #16837502 | C2 | semidirect |
| 10. #16837459 | C2 | semidirect |
| 11. C59×#532 | C2 | semidirect |
| 109. D236 | #41 | semidirect |
| 114. Dic118 | #41 | semidirect |
| 145. #532 | D59 | semidirect |
| 156. C59 | #3115 | semidirect |