Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
298 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 3. #14543701 | C2 | semidirect |
| 4. #14543700 | C2 | semidirect |
| 27. C17×M32 | C8 | semidirect |
| 33. #10587483 | C8 | semidirect |
| 51. C16×C17 | C2×C8 | semidirect |
| 52. #63214 | C2×C8 | semidirect |
| 103. M32 | #3624 | semidirect |
| 114. C17 | #11404 | semidirect |
| 132. C16 | C2×#3624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544990 | 2 |
| C2×#11763650 | 2 |
| #14543701 | 2 |
| #14543700 | 2 |
| M32×Dic17 | 2 |
| #11404 | 17 |