Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 192 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 |
|---|---|---|
| 4. C5×#817 | C2 | semidirect |
| 5. C3×#3948 | C2 | semidirect |
| 6. #90989 | C2 | semidirect |
| 7. #90970 | C2 | semidirect |
| 25. #3948 | D3 | semidirect |
| 46. #817 | D5 | semidirect |
| 141. C3×C5 | #485 | semidirect |
| 174. C5 | #4815 | semidirect |
| 186. C3 | #65156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91390 | 2 |
| #91347 | 2 |
| #91104 | 2 |
| C5×#817 | 2 |
| C3×#3948 | 2 |
| #90989 | 2 |
| #90970 | 2 |
| #65156 | 3 |
| #4815 | 5 |