Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #14531964 | C2 | semidirect |
| 3. #14527500 | C2 | semidirect |
| 5. #14526650 | C2 | semidirect |
| 6. #14526648 | C2 | semidirect |
| 10. #11763159 | C4 | semidirect |
| 11. #11763155 | C4 | semidirect |
| 211. C17 | #9430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539177 | 2 |
| #14531964 | 2 |
| #14527500 | 2 |
| #14527331 | 2 |
| #14526650 | 2 |
| #14526648 | 2 |
| C17×#1514 | 2 |
| #9430 | 17 |