Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
358 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14530558 | C2 | semidirect |
| 3. C2×#11762633 | C2 | semidirect |
| 6. #14526890 | C2 | semidirect |
| 7. C17×#1388 | C2 | semidirect |
| 9. #11763227 | C4 | semidirect |
| 125. #1388 | D17 | semidirect |
| 193. C17 | #12833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541886 | 2 |
| #14530558 | 2 |
| C2×#11762633 | 2 |
| #14528840 | 2 |
| #14528839 | 2 |
| #14526890 | 2 |
| C17×#1388 | 2 |
| #12833 | 17 |