Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14529215 | C2 | semidirect |
| 4. #14528988 | C2 | semidirect |
| 6. #14527149 | C2 | semidirect |
| 7. C17×#1305 | C2 | semidirect |
| 187. #1305 | 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 |
| #14529245 | 2 |
| #14529215 | 2 |
| #14528988 | 2 |
| #14527351 | 2 |
| #14527149 | 2 |
| C17×#1305 | 2 |
| #10562 | 17 |