Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
346 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14540185 | C2 | semidirect |
| 2. #14530735 | C2 | semidirect |
| 4. #14526777 | C2 | semidirect |
| 5. #14526774 | C2 | semidirect |
| 6. #14526735 | C2 | semidirect |
| 7. C17×#2050 | C2 | semidirect |
| 152. #2050 | D17 | semidirect |
| 238. C17 | #12175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540185 | 2 |
| #14530735 | 2 |
| #14530730 | 2 |
| #14526777 | 2 |
| #14526774 | 2 |
| #14526735 | 2 |
| C17×#2050 | 2 |
| #12175 | 17 |