Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
812 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14528061 | C2 | semidirect |
| 4. #14528026 | C2 | semidirect |
| 222. C17 | #18703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540175 | 2 |
| #14539294 | 2 |
| #14528061 | 2 |
| #14528026 | 2 |
| #14527522 | 2 |
| #14527239 | 2 |
| C17×#3556 | 2 |
| #18703 | 17 |