Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
248 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 102 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. #14543703 | C2 | semidirect |
| 4. #14543703 | C2 | semidirect |
| 5. #14543701 | C2 | semidirect |
| 6. #14543700 | C2 | semidirect |
| 70. C16×C17 | M16 | semidirect |
| 72. #63214 | M16 | semidirect |
| 156. C17 | #11414 | semidirect |
| 181. C16 | #63247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545146 | 2 |
| #14543993 | 2 |
| #14543703 | 2 |
| #14543701 | 2 |
| #14543700 | 2 |
| M32×Dic17 | 2 |
| #11414 | 17 |