Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
152 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 58 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. C11×#683 | C2 | semidirect |
| 4. C4×C5×Dic11 | C2 | semidirect |
| 5. #11724889 | C2 | semidirect |
| 7. Dic5×Dic11 | C2 | semidirect |
| 15. #89166 | C4 | semidirect |
| 33. C4×Dic11 | D5 | semidirect |
| 52. #683 | D11 | semidirect |
| 54. C5×C11 | #117 | semidirect |
| 95. C11 | #4018 | semidirect |
| 108. C5 | #66945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#89166 | 2 |
| #11724932 | 2 |
| C11×#683 | 2 |
| C4×C5×Dic11 | 2 |
| #11724889 | 2 |
| #11724886 | 2 |
| Dic5×Dic11 | 2 |
| #66945 | 5 |
| #4018 | 11 |