Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 392 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. #14527570 | C2 | semidirect |
| 4. #14527485 | C2 | semidirect |
| 5. #14527282 | C2 | semidirect |
| 7. C17×#1285 | C2 | semidirect |
| 163. #1285 | D17 | semidirect |
| 255. C17 | #10510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539789 | 2 |
| #14529716 | 2 |
| #14527570 | 2 |
| #14527485 | 2 |
| #14527282 | 2 |
| #14527137 | 2 |
| C17×#1285 | 2 |
| #10510 | 17 |