Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14273755 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 3. #16837983 | C2 | semidirect |
| 4. #16837971 | C2 | semidirect |
| 5. #16837656 | C2 | semidirect |
| 6. #16837649 | C2 | semidirect |
| 7. #16837639 | C2 | semidirect |
| 8. #16837632 | C2 | semidirect |
| 9. #16837396 | C2 | semidirect |
| 10. C2×#14273647 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 19. C2×#11745659 | C22 | semidirect |
| 21. C2×C8×D59 | C22 | semidirect |
| 25. #14273707 | C22 | semidirect |
| 29. #14273702 | C22 | semidirect |
| 32. #14273650 | C22 | semidirect |
| 33. #14273650 | C22 | semidirect |
| 36. #14273647 | C22 | semidirect |
| 37. #14273647 | C22 | semidirect |
| 41. #107×C59 | C22 | semidirect |
| 42. #106×C59 | C22 | semidirect |
| 65. M16×C59 | D4 | semidirect |
| 160. #428 | D59 | semidirect |
| 163. C59 | #3062 | semidirect |
| 187. #107 | C2×D59 | semidirect |
| 188. #106 | C2×D59 | semidirect |
| 220. M16 | D236 | semidirect |