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 |
|---|---|---|
| 2. C4×Dic55 | C2 | semidirect |
| 4. C5×Dic11⋊C4 | C2 | semidirect |
| 5. Dic11⋊Dic5 | C2 | semidirect |
| 7. Dic5×Dic11 | C2 | semidirect |
| 15. D5×Dic11 | C4 | semidirect |
| 31. Dic11⋊C4 | D5 | semidirect |
| 54. C5×C11 | #117 | semidirect |
| 95. C11 | #4038 | semidirect |
| 108. C5 | #66930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×Dic11 | 2 |
| C4×Dic55 | 2 |
| C11×#685 | 2 |
| C5×Dic11⋊C4 | 2 |
| Dic11⋊Dic5 | 2 |
| #11724885 | 2 |
| Dic5×Dic11 | 2 |
| #66930 | 5 |
| #4038 | 11 |