Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14531013 | C2 | semidirect |
| 4. #14526855 | C2 | semidirect |
| 5. #14526842 | C2 | semidirect |
| 6. #14526832 | C2 | semidirect |
| 148. C17 | #12469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531013 | 2 |
| D4×#63214 | 2 |
| #14528149 | 2 |
| #14526855 | 2 |
| #14526842 | 2 |
| #14526832 | 2 |
| C17×#1675 | 2 |
| #12469 | 17 |