Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14530504 | C2 | semidirect |
| 5. #14526886 | C2 | semidirect |
| 6. #14526885 | C2 | semidirect |
| 7. C17×#2141 | C2 | semidirect |
| 14. #11763064 | C4 | semidirect |
| 147. #2141 | D17 | semidirect |
| 228. C17 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541886 | 2 |
| #14538435 | 2 |
| #14530504 | 2 |
| #14528827 | 2 |
| #14526886 | 2 |
| #14526885 | 2 |
| C17×#2141 | 2 |
| #13075 | 17 |