Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14531066 | C2 | semidirect |
| 5. #14526843 | C2 | semidirect |
| 6. #14526840 | C2 | semidirect |
| 7. C17×#1372 | C2 | semidirect |
| 64. C16×C17 | SD16 | semidirect |
| 91. #1372 | D17 | semidirect |
| 146. C17 | #12453 | semidirect |
| 168. C16 | #63219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531066 | 2 |
| C16×D68 | 2 |
| #14528184 | 2 |
| #14528174 | 2 |
| #14526843 | 2 |
| #14526840 | 2 |
| C17×#1372 | 2 |
| #12453 | 17 |