Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
252 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14531039 | C2 | semidirect |
| 2. #14530603 | C2 | semidirect |
| 3. #14528150 | C2 | semidirect |
| 5. #14526857 | C2 | semidirect |
| 6. #14526834 | C2 | semidirect |
| 7. C17×#1361 | C2 | semidirect |
| 73. #63214 | D8 | semidirect |
| 88. D68 | SD32 | semidirect |
| 105. #1361 | D17 | semidirect |
| 163. C17 | #12432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531039 | 2 |
| #14530603 | 2 |
| #14528150 | 2 |
| #14528136 | 2 |
| #14526857 | 2 |
| #14526834 | 2 |
| C17×#1361 | 2 |
| #12432 | 17 |