Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
388 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 2. #14545140 | C2 | semidirect |
| 4. #14544894 | C2 | semidirect |
| 5. #14543866 | C2 | semidirect |
| 6. #14543830 | C2 | semidirect |
| 27. #11762620 | C4 | semidirect |
| 28. #11762619 | C4 | semidirect |
| 29. #11762618 | C4 | semidirect |
| 30. C17×#360 | C4 | semidirect |
| 213. #360 | #595 | semidirect |
| 270. C17 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#444 | 2 |
| #14545140 | 2 |
| #14545098 | 2 |
| #14544894 | 2 |
| #14543866 | 2 |
| #14543830 | 2 |
| #14530518 | 2 |
| #12944 | 17 |