Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 86 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. #14545120 | C2 | semidirect |
| 4. #14544704 | C2 | semidirect |
| 5. #14543864 | C2 | semidirect |
| 6. #14543843 | C2 | semidirect |
| 22. #11762932 | C4 | semidirect |
| 23. #11762931 | C4 | semidirect |
| 24. #11762930 | C4 | semidirect |
| 30. C17×#444 | C4 | semidirect |
| 197. #444 | #595 | semidirect |
| 264. C17 | #12829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545120 | 2 |
| #14545111 | 2 |
| #14545091 | 2 |
| #14544704 | 2 |
| #14543864 | 2 |
| #14543843 | 2 |
| #14537698 | 2 |
| #12829 | 17 |