Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #14528937 | C2 | semidirect |
| 3. #14527560 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 7. C17×#1571 | C2 | semidirect |
| 112. #1571 | D17 | semidirect |
| 179. C17 | #10667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529615 | 2 |
| #14528937 | 2 |
| #14527560 | 2 |
| #14527184 | 2 |
| #14527182 | 2 |
| #14526612 | 2 |
| C17×#1571 | 2 |
| #10667 | 17 |