Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #16837883 | C2 | semidirect |
| 3. #16837729 | C2 | semidirect |
| 4. #16837728 | C2 | semidirect |
| 5. #16837722 | C2 | semidirect |
| 6. #16837717 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837408 | C2 | semidirect |
| 9. C2×#14273647 | C2 | semidirect |
| 10. #16837370 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 24. #14273685 | C22 | semidirect |
| 25. C4⋊C4×D59 | C22 | semidirect |
| 26. #14273660 | C22 | semidirect |
| 27. #14273660 | C22 | semidirect |
| 28. #14273658 | C22 | semidirect |
| 29. #14273658 | C22 | semidirect |
| 34. (C2×D59)⋊C8 | C22 | semidirect |
| 35. (C2×D59)⋊C8 | C22 | semidirect |
| 39. #107×C59 | C22 | semidirect |
| 40. #106×C59 | C22 | semidirect |
| 141. #428 | D59 | semidirect |
| 146. C59 | #3096 | semidirect |
| 166. #107 | C2×D59 | semidirect |
| 169. #106 | C2×D59 | semidirect |