Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 474 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. #14528967 | C2 | semidirect |
| 4. #14527304 | C2 | semidirect |
| 6. #14526660 | C2 | semidirect |
| 7. C17×#1901 | C2 | semidirect |
| 188. #1901 | D17 | semidirect |
| 298. C17 | #10558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539537 | 2 |
| #14529247 | 2 |
| #14528967 | 2 |
| #14527304 | 2 |
| #14527301 | 2 |
| #14526660 | 2 |
| C17×#1901 | 2 |
| #10558 | 17 |