Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
772 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14539719 | C2 | semidirect |
| 2. #14539363 | C2 | semidirect |
| 3. #14528450 | C2 | semidirect |
| 4. #14528437 | C2 | semidirect |
| 5. C17×#1452 | C2 | semidirect |
| 87. #1452 | D17 | semidirect |
| 140. C17 | #19710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539719 | 2 |
| #14539363 | 2 |
| #14528450 | 2 |
| #14528437 | 2 |
| C17×#1452 | 2 |
| #19710 | 17 |