Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
172 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14531063 | C2 | semidirect |
| 4. #14526844 | C2 | semidirect |
| 5. C17×#1373 | C2 | semidirect |
| 64. #1373 | D17 | semidirect |
| 101. C17 | #12464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531063 | 2 |
| #14530961 | 2 |
| #14530622 | 2 |
| #14526844 | 2 |
| C17×#1373 | 2 |
| #12464 | 17 |