Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14529508 | C2 | semidirect |
| 3. #14527439 | C2 | semidirect |
| 5. #14527282 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 262. C17 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539129 | 2 |
| #14529508 | 2 |
| #14527439 | 2 |
| #14527433 | 2 |
| #14527282 | 2 |
| #14526614 | 2 |
| C17×#1502 | 2 |
| #10547 | 17 |