Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #14526894 | C2 | semidirect |
| 5. #14526893 | C2 | semidirect |
| 6. #14526892 | C2 | semidirect |
| 7. C17×#1387 | C2 | semidirect |
| 130. #1387 | D17 | semidirect |
| 201. C17 | #12872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762846 | 2 |
| #14530394 | 2 |
| #14528819 | 2 |
| #14526894 | 2 |
| #14526893 | 2 |
| #14526892 | 2 |
| C17×#1387 | 2 |
| #12872 | 17 |