Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
578 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 3. #14531031 | C2 | semidirect |
| 4. #14531030 | C2 | semidirect |
| 5. #14531029 | C2 | semidirect |
| 6. #14531010 | C2 | semidirect |
| 9. C17×#2245 | C2 | semidirect |
| 136. #2245 | D17 | semidirect |
| 216. C17 | #33705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539297 | 2 |
| D17×#494 | 2 |
| #14531031 | 2 |
| #14531030 | 2 |
| #14531029 | 2 |
| #14531010 | 2 |
| #14530502 | 2 |
| #14530377 | 2 |
| C17×#2245 | 2 |
| #33705 | 17 |