Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
328 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14527573 | C2 | semidirect |
| 2. #14527572 | C2 | semidirect |
| 6. #14526697 | C2 | semidirect |
| 7. C17×#1574 | C2 | semidirect |
| 126. #1574 | D17 | semidirect |
| 201. C17 | #10612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527573 | 2 |
| #14527572 | 2 |
| #14527453 | 2 |
| #14527451 | 2 |
| #14526697 | 2 |
| C17×#1574 | 2 |
| #10612 | 17 |