Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
248 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14530830 | C2 | semidirect |
| 3. #14528390 | C2 | semidirect |
| 4. #14527670 | C2 | semidirect |
| 5. #14526834 | C2 | semidirect |
| 6. #14526831 | C2 | semidirect |
| 7. C17×#1367 | C2 | semidirect |
| 104. #1367 | D17 | semidirect |
| 164. C17 | #12495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530830 | 2 |
| #14530820 | 2 |
| #14528390 | 2 |
| #14527670 | 2 |
| #14526834 | 2 |
| #14526831 | 2 |
| C17×#1367 | 2 |
| #12495 | 17 |