Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14530583 | C2 | semidirect |
| 3. #14526826 | C2 | semidirect |
| 4. C17×#1568 | C2 | semidirect |
| 13. C4⋊#63214 | C22 | semidirect |
| 19. C17×#334 | C22 | semidirect |
| 114. #1568 | D17 | semidirect |
| 146. #334 | C2×D17 | semidirect |
| 180. C17 | #11957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763193 | 2 |
| #14530583 | 2 |
| #14526826 | 2 |
| C17×#1568 | 2 |
| #11957 | 17 |