Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 3. C3×C5×#103 | C2 | semidirect |
| 4. #91119 | C2 | semidirect |
| 6. #91101 | C2 | semidirect |
| 7. #91091 | C2 | semidirect |
| 23. C5×#103 | D3 | semidirect |
| 43. C3×#103 | D5 | semidirect |
| 100. #103 | D15 | semidirect |
| 141. C3×C5 | #485 | semidirect |
| 174. C5 | #4815 | semidirect |
| 186. C3 | #65104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91835 | 2 |
| #91781 | 2 |
| C3×C5×#103 | 2 |
| #91119 | 2 |
| #91104 | 2 |
| #91101 | 2 |
| #91091 | 2 |
| #65104 | 3 |
| #4815 | 5 |