Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14545753 | C2 | semidirect |
| 2. #14545093 | C2 | semidirect |
| 3. #14544667 | C2 | semidirect |
| 4. #14543851 | C2 | semidirect |
| 17. #11763063 | C4 | semidirect |
| 18. #11763062 | C4 | semidirect |
| 19. #11763059 | C4 | semidirect |
| 24. C17×#469 | C4 | semidirect |
| 60. #10587529 | D4 | semidirect |
| 193. #469 | #595 | semidirect |
| 252. C17 | #13074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545753 | 2 |
| #14545093 | 2 |
| #14544667 | 2 |
| #14543851 | 2 |
| #14538430 | 2 |
| #13074 | 17 |