Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 3. #14529217 | C2 | semidirect |
| 5. #14527147 | C2 | semidirect |
| 6. #14526689 | C2 | semidirect |
| 7. C17×#1855 | C2 | semidirect |
| 184. #1855 | D17 | semidirect |
| 288. C17 | #10562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539591 | 2 |
| #14529247 | 2 |
| #14529217 | 2 |
| #14527353 | 2 |
| #14527147 | 2 |
| #14526689 | 2 |
| C17×#1855 | 2 |
| #10562 | 17 |