Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
312 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14529574 | C2 | semidirect |
| 5. #14526899 | C2 | semidirect |
| 6. #14526880 | C2 | semidirect |
| 7. C17×#2108 | C2 | semidirect |
| 15. #11762626 | C4 | semidirect |
| 16. #11762623 | C4 | semidirect |
| 125. #2108 | D17 | semidirect |
| 197. C17 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530534 | 2 |
| C2×#11762617 | 2 |
| #14529682 | 2 |
| #14529574 | 2 |
| #14526899 | 2 |
| #14526880 | 2 |
| C17×#2108 | 2 |
| #13146 | 17 |