Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 25. #11763095 | C4 | semidirect |
| 26. #11763094 | C4 | semidirect |
| 27. #11763016 | C4 | semidirect |
| 32. C17×#462 | C4 | semidirect |
| 215. #462 | #595 | semidirect |
| 288. C17 | #9324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545224 | 2 |
| #14544960 | 2 |
| #14544176 | 2 |
| #14544127 | 2 |
| #14543671 | 2 |
| #14543636 | 2 |
| #14538913 | 2 |
| #9324 | 17 |