Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
530 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 119 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. C2×#11762550 | C2 | semidirect |
| 4. #14526666 | C2 | semidirect |
| 244. C17 | #9125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762866 | 2 |
| #14537094 | 2 |
| C2×#11762550 | 2 |
| #14526666 | 2 |
| C17×#1749 | 2 |
| #9125 | 17 |