Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16838033 | C2 | semidirect |
| 3. #16837705 | C2 | semidirect |
| 4. #16837701 | C2 | semidirect |
| 5. #16837691 | C2 | semidirect |
| 6. #16837681 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837430 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 15. #14273726 | C22 | semidirect |
| 17. #14273718 | C22 | semidirect |
| 26. #14273660 | C22 | semidirect |
| 27. #14273660 | C22 | semidirect |
| 28. #14273658 | C22 | semidirect |
| 29. #14273658 | C22 | semidirect |
| 30. Dic59⋊C8 | C22 | semidirect |
| 31. Dic59⋊C8 | C22 | semidirect |
| 39. #107×C59 | C22 | semidirect |
| 40. #106×C59 | C22 | semidirect |
| 46. C2×D236 | Q8 | semidirect |
| 131. #428 | D59 | semidirect |
| 136. C59 | #3081 | semidirect |
| 156. #107 | C2×D59 | semidirect |
| 159. #106 | C2×D59 | semidirect |