Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 3. #14545001 | C2 | semidirect |
| 4. #14544590 | C2 | semidirect |
| 5. #14543866 | C2 | semidirect |
| 6. #14543851 | C2 | semidirect |
| 13. #11763725 | C4 | semidirect |
| 14. #11763723 | C4 | semidirect |
| 20. #11762921 | C4 | semidirect |
| 21. #11762917 | C4 | semidirect |
| 22. #11762915 | C4 | semidirect |
| 28. C17×#442 | C4 | semidirect |
| 53. #10587536 | C2×C4 | semidirect |
| 56. #10587533 | C2×C4 | semidirect |
| 60. #10587530 | C2×C4 | semidirect |
| 62. #10587529 | C2×C4 | semidirect |
| 185. #442 | #595 | semidirect |
| 251. C17 | #12649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545105 | 2 |
| #14545099 | 2 |
| #14545001 | 2 |
| #14544590 | 2 |
| #14543866 | 2 |
| #14543851 | 2 |
| #14537581 | 2 |
| #12649 | 17 |