Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14529248 | C2 | semidirect |
| 3. #14529245 | C2 | semidirect |
| 4. #14528969 | C2 | semidirect |
| 5. #14527299 | C2 | semidirect |
| 6. #14526660 | C2 | semidirect |
| 7. C17×#1507 | C2 | semidirect |
| 199. #1507 | D17 | semidirect |
| 309. C17 | #10557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539532 | 2 |
| #14529248 | 2 |
| #14529245 | 2 |
| #14528969 | 2 |
| #14527299 | 2 |
| #14526660 | 2 |
| C17×#1507 | 2 |
| #10557 | 17 |