Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #16837794 | C2 | semidirect |
| 3. #16837776 | C2 | semidirect |
| 4. #16837768 | C2 | semidirect |
| 5. #16837759 | C2 | semidirect |
| 6. #16837624 | C2 | semidirect |
| 7. #16837602 | C2 | semidirect |
| 8. #16837562 | C2 | semidirect |
| 9. #16837552 | C2 | semidirect |
| 10. #16837463 | C2 | semidirect |
| 11. C59×#541 | C2 | semidirect |
| 14. C2×#11745672 | C22 | semidirect |
| 17. C2×#11745671 | C22 | semidirect |
| 24. C4⋊(C59⋊C8) | C22 | semidirect |
| 25. #14273650 | C22 | semidirect |
| 28. #14273647 | C22 | semidirect |
| 30. #14273638 | C22 | semidirect |
| 31. C4×C59⋊C8 | C22 | semidirect |
| 32. C4⋊Q8×C59 | C22 | semidirect |
| 35. #125×C59 | C22 | semidirect |
| 37. C4×Q8×C59 | C22 | semidirect |
| 123. #541 | D59 | semidirect |
| 134. C59 | #3222 | semidirect |
| 141. C4⋊Q8 | C2×D59 | semidirect |
| 146. #125 | C2×D59 | semidirect |
| 152. C4×Q8 | C2×D59 | semidirect |