Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
568 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14526610 | C2 | semidirect |
| 5. #14526608 | C2 | semidirect |
| 6. #14526606 | C2 | semidirect |
| 7. C17×#1272 | C2 | semidirect |
| 175. #1272 | D17 | semidirect |
| 267. C17 | #7681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537125 | 2 |
| #14528476 | 2 |
| D17×#336 | 2 |
| #14526610 | 2 |
| #14526608 | 2 |
| #14526606 | 2 |
| C17×#1272 | 2 |
| #7681 | 17 |