Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 26. #11763219 | C4 | semidirect |
| 27. #11763218 | C4 | semidirect |
| 30. #11763215 | C4 | semidirect |
| 34. C17×#501 | C4 | semidirect |
| 234. #501 | #595 | semidirect |
| 316. C17 | #9000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545330 | 2 |
| #14544968 | 2 |
| #14544915 | 2 |
| D17⋊#330 | 2 |
| #14543661 | 2 |
| D17×#501 | 2 |
| #9000 | 17 |