Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
562 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14539711 | C2 | semidirect |
| 2. C2×#11763100 | C2 | semidirect |
| 4. #14527470 | C2 | semidirect |
| 5. #14527182 | C2 | semidirect |
| 6. #14527104 | C2 | semidirect |
| 7. C17×#1301 | C2 | semidirect |
| 96. C2×D68 | SD16 | semidirect |
| 185. #1301 | D17 | semidirect |
| 286. C17 | #10180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539711 | 2 |
| C2×#11763100 | 2 |
| #14538250 | 2 |
| #14527470 | 2 |
| #14527182 | 2 |
| #14527104 | 2 |
| C17×#1301 | 2 |
| #10180 | 17 |