Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 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 |
|---|---|---|
| 1. #16838125 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837728 | C2 | semidirect |
| 5. #16837682 | C2 | semidirect |
| 6. #16837651 | C2 | semidirect |
| 7. #16837602 | C2 | semidirect |
| 8. #16837551 | C2 | semidirect |
| 9. #16837481 | C2 | semidirect |
| 10. #16837405 | C2 | semidirect |
| 11. C4×SD16×C59 | C2 | semidirect |
| 14. C2×#11745671 | C22 | semidirect |
| 15. C2×#11745659 | C22 | semidirect |
| 16. #14273727 | C22 | semidirect |
| 20. #14273703 | C22 | semidirect |
| 26. #14273685 | C22 | semidirect |
| 27. #14273660 | C22 | semidirect |
| 28. C4⋊(C59⋊C8) | C22 | semidirect |
| 29. #14273649 | C22 | semidirect |
| 30. #14273649 | C22 | semidirect |
| 32. #14273647 | C22 | semidirect |
| 33. (C2×D59)⋊C8 | C22 | semidirect |
| 35. C4×Q8×C59 | C22 | semidirect |
| 37. #106×C59 | C22 | semidirect |
| 38. #103×C59 | C22 | semidirect |
| 40. C4×C8×C59 | C22 | semidirect |
| 144. C4×SD16 | D59 | semidirect |
| 147. C59 | #3324 | semidirect |
| 162. C4×Q8 | C2×D59 | semidirect |
| 167. #106 | C2×D59 | semidirect |
| 169. #103 | C2×D59 | semidirect |
| 176. C4×C8 | C2×D59 | semidirect |