Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #14528957 | C2 | semidirect |
| 5. #14526882 | C2 | semidirect |
| 6. #14526867 | C2 | semidirect |
| 7. C17×#1383 | C2 | semidirect |
| 121. #1383 | D17 | semidirect |
| 187. C17 | #13487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762623 | 2 |
| C2×#11762621 | 2 |
| #14529658 | 2 |
| #14528957 | 2 |
| #14526882 | 2 |
| #14526867 | 2 |
| C17×#1383 | 2 |
| #13487 | 17 |