Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
156 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 48 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. C2×Dic5×D11 | C2 | semidirect |
| 3. C4⋊Dic55 | C2 | semidirect |
| 4. C11×#685 | C2 | semidirect |
| 5. C5×(C2×D11)⋊C4 | C2 | semidirect |
| 6. Dic11⋊Dic5 | C2 | semidirect |
| 7. #11724885 | C2 | semidirect |
| 34. (C2×D11)⋊C4 | D5 | semidirect |
| 56. #685 | D11 | semidirect |
| 59. C5×C11 | #123 | semidirect |
| 106. C11 | #4032 | semidirect |
| 121. C5 | #66936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#89167 | 2 |
| C2×Dic5×D11 | 2 |
| C4⋊Dic55 | 2 |
| C11×#685 | 2 |
| C5×(C2×D11)⋊C4 | 2 |
| Dic11⋊Dic5 | 2 |
| #11724885 | 2 |
| #66936 | 5 |
| #4032 | 11 |