Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 3. #14527572 | C2 | semidirect |
| 4. #14527521 | C2 | semidirect |
| 6. #14527206 | C2 | semidirect |
| 7. C17×#1299 | C2 | semidirect |
| 148. #1299 | D17 | semidirect |
| 228. C17 | #10492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539727 | 2 |
| #14529624 | 2 |
| #14527572 | 2 |
| #14527521 | 2 |
| #14527453 | 2 |
| #14527206 | 2 |
| C17×#1299 | 2 |
| #10492 | 17 |