Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
460 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 460 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. #16838117 | C2 | semidirect |
| 2. D4×D236 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837729 | C2 | semidirect |
| 5. #16837692 | C2 | semidirect |
| 6. #16837654 | C2 | semidirect |
| 7. #16837597 | C2 | semidirect |
| 8. #16837534 | C2 | semidirect |
| 9. #16837481 | C2 | semidirect |
| 10. #16837405 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 14. C2×#11745669 | C22 | semidirect |
| 15. C2×#11745659 | C22 | semidirect |
| 16. #14273727 | C22 | semidirect |
| 22. #14273698 | C22 | semidirect |
| 26. #14273685 | C22 | semidirect |
| 27. #14273658 | 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 |
| 36. C4×D4×C59 | C22 | semidirect |
| 37. #107×C59 | C22 | semidirect |
| 39. #102×C59 | C22 | semidirect |
| 40. C4×C8×C59 | C22 | semidirect |
| 149. C4×D8 | D59 | semidirect |
| 152. C59 | #3325 | semidirect |
| 168. C4×D4 | C2×D59 | semidirect |
| 171. #107 | C2×D59 | semidirect |
| 179. #102 | C2×D59 | semidirect |
| 181. C4×C8 | C2×D59 | semidirect |