Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
446 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14530257 | C2 | semidirect |
| 4. #14530192 | C2 | semidirect |
| 5. #14526606 | C2 | semidirect |
| 7. C17×#1272 | C2 | semidirect |
| 165. #1272 | D17 | semidirect |
| 254. C17 | #7789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14535802 | 2 |
| #14530311 | 2 |
| #14530257 | 2 |
| #14530192 | 2 |
| #14526606 | 2 |
| #14526604 | 2 |
| C17×#1272 | 2 |
| #7789 | 17 |