Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1166 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1166 conjugacy classes of subgroups — too many to draw. Only its 251 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 |
|---|---|---|
| 4. #14528779 | C2 | semidirect |
| 6. #14528579 | C2 | semidirect |
| 181. C17 | #20730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763286 | 2 |
| #14537419 | 2 |
| #14528867 | 2 |
| #14528779 | 2 |
| #14528707 | 2 |
| #14528579 | 2 |
| C17×#1822 | 2 |
| #20730 | 17 |