Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
352 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14530540 | C2 | semidirect |
| 2. #14527543 | C2 | semidirect |
| 3. #14526842 | C2 | semidirect |
| 4. #14526830 | C2 | semidirect |
| 174. C17 | #11986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530540 | 2 |
| #14527543 | 2 |
| #14526842 | 2 |
| #14526830 | 2 |
| C17×#3169 | 2 |
| #11986 | 17 |