Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
766 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 766 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 2. #14529581 | C2 | semidirect |
| 3. #14527482 | C2 | semidirect |
| 4. #14527400 | C2 | semidirect |
| 5. #14527395 | C2 | semidirect |
| 6. #14527124 | C2 | semidirect |
| 7. C17×#1551 | C2 | semidirect |
| 197. #1551 | D17 | semidirect |
| 313. C17 | #8458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542633 | 2 |
| #14529581 | 2 |
| #14527482 | 2 |
| #14527400 | 2 |
| #14527395 | 2 |
| #14527124 | 2 |
| C17×#1551 | 2 |
| #8458 | 17 |