Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
444 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16837947 | C2 | semidirect |
| 2. C2×#14273716 | C2 | semidirect |
| 3. #16837788 | C2 | semidirect |
| 4. #16837763 | C2 | semidirect |
| 5. #16837620 | C2 | semidirect |
| 6. #16837619 | C2 | semidirect |
| 7. #16837541 | C2 | semidirect |
| 8. #16837538 | C2 | semidirect |
| 9. #16837535 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#448 | C2 | semidirect |
| 14. C2×#11745671 | C22 | semidirect |
| 17. #14273726 | C22 | semidirect |
| 18. #14273723 | C22 | semidirect |
| 26. D4×Dic59 | C22 | semidirect |
| 27. #14273689 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273651 | C22 | semidirect |
| 37. #14273637 | C22 | semidirect |
| 39. C2×SD16×C59 | C22 | semidirect |
| 41. #103×C59 | C22 | semidirect |
| 160. #448 | D59 | semidirect |
| 164. C59 | #3213 | semidirect |
| 169. C2×SD16 | C2×D59 | semidirect |
| 190. #103 | C2×D59 | semidirect |