Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
432 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 86 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. #14544300 | C2 | semidirect |
| 3. D17⋊#333 | C2 | semidirect |
| 5. #14543674 | C2 | semidirect |
| 6. #14543653 | C2 | semidirect |
| 284. C17 | #9170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545483 | 2 |
| #14544300 | 2 |
| D17⋊#333 | 2 |
| #14544082 | 2 |
| #14543674 | 2 |
| #14543653 | 2 |
| #14538594 | 2 |
| #9170 | 17 |