Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
444 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 78 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. #11763091 | C4 | semidirect |
| 26. #11763020 | C4 | semidirect |
| 27. #11763019 | C4 | semidirect |
| 32. C17×#475 | C4 | semidirect |
| 208. #475 | #595 | semidirect |
| 282. C17 | #9328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545268 | 2 |
| #14544959 | 2 |
| #14544178 | 2 |
| #14544127 | 2 |
| #14543671 | 2 |
| #14543636 | 2 |
| #14538916 | 2 |
| #9328 | 17 |