Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
186 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 186 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. #14531030 | C2 | semidirect |
| 5. #14526844 | C2 | semidirect |
| 6. #14526822 | C2 | semidirect |
| 7. C17×#1369 | C2 | semidirect |
| 86. #1369 | D17 | semidirect |
| 135. C17 | #12466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531030 | 2 |
| #14530961 | 2 |
| #14530866 | 2 |
| #14530627 | 2 |
| #14526844 | 2 |
| #14526822 | 2 |
| C17×#1369 | 2 |
| #12466 | 17 |