Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
140 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 15. #89170 | C4 | semidirect |
| 24. C11×Dic5 | Q8 | semidirect |
| 51. C5×C11 | C4×Q8 | semidirect |
| 78. Dic5 | Dic22 | semidirect |
| 87. C11 | #4033 | semidirect |
| 99. C5 | C4×Dic22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#89170 | 2 |
| #11724930 | 2 |
| C4×C11×Dic5 | 2 |
| C5×Dic11⋊C4 | 2 |
| #11724889 | 2 |
| Dic5×Dic11 | 2 |
| C4×Dic22 | 5 |
| #4033 | 11 |