Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14528470 | C2 | semidirect |
| 2. #14527547 | C2 | semidirect |
| 3. #14527395 | C2 | semidirect |
| 4. #14527292 | C2 | semidirect |
| 16. C17×#500 | C4 | semidirect |
| 17. C17×#493 | C4 | semidirect |
| 18. C17×#486 | C4 | semidirect |
| 141. #500 | Dic17 | semidirect |
| 142. #493 | Dic17 | semidirect |
| 143. #486 | Dic17 | semidirect |
| 195. C17 | #9762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528470 | 2 |
| #14527547 | 2 |
| #14527395 | 2 |
| #14527292 | 2 |
| C17×#3169 | 2 |
| #9762 | 17 |