Finite Group DatabasebetaFinite Group DatabasebetaOrder 1760.
140 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
| 20. Dic55 | Q8 | semidirect |
| 51. C5×C11 | C4×Q8 | semidirect |
| 87. C11 | #4033 | semidirect |
| 99. C5 | #66940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#89170 | 2 |
| C4×Dic55 | 2 |
| C11×#683 | 2 |
| C5×Dic11⋊C4 | 2 |
| #11724888 | 2 |
| Dic5×Dic11 | 2 |
| #66940 | 5 |
| #4033 | 11 |