Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
282 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14530820 | C2 | semidirect |
| 2. #14530816 | C2 | semidirect |
| 3. #14528398 | C2 | semidirect |
| 4. #14527668 | C2 | semidirect |
| 5. #14526847 | C2 | semidirect |
| 6. #14526829 | C2 | semidirect |
| 7. C17×#1361 | C2 | semidirect |
| 105. #3622 | D16 | semidirect |
| 112. #1361 | D17 | semidirect |
| 173. C17 | #12491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530820 | 2 |
| #14530816 | 2 |
| #14528398 | 2 |
| #14527668 | 2 |
| #14526847 | 2 |
| #14526829 | 2 |
| C17×#1361 | 2 |
| #12491 | 17 |