Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 360 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. #14529742 | C2 | semidirect |
| 3. #14527569 | C2 | semidirect |
| 6. #14526639 | C2 | semidirect |
| 7. C17×#1470 | C2 | semidirect |
| 150. #1470 | D17 | semidirect |
| 239. C17 | #10509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539974 | 2 |
| #14529742 | 2 |
| #14527569 | 2 |
| #14527480 | 2 |
| #14527280 | 2 |
| #14526639 | 2 |
| C17×#1470 | 2 |
| #10509 | 17 |