Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 1. #14545284 | C2 | semidirect |
| 3. #14544247 | C2 | semidirect |
| 5. #14543645 | C2 | semidirect |
| 6. #14543634 | C2 | semidirect |
| 26. #11763219 | C4 | semidirect |
| 27. #11763218 | C4 | semidirect |
| 28. #11763173 | C4 | semidirect |
| 34. C17×#490 | C4 | semidirect |
| 227. #490 | #595 | semidirect |
| 310. C17 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545284 | 2 |
| #14544948 | 2 |
| #14544247 | 2 |
| #14544204 | 2 |
| #14543645 | 2 |
| #14543634 | 2 |
| #14539969 | 2 |
| #9382 | 17 |