Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
200 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 200 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 |
|---|---|---|
| 2. #91470 | C2 | semidirect |
| 3. C5×#835 | C2 | semidirect |
| 4. C3×#3967 | C2 | semidirect |
| 7. #90954 | C2 | semidirect |
| 24. #3967 | D3 | semidirect |
| 45. #835 | D5 | semidirect |
| 144. C3×C5 | #489 | semidirect |
| 178. C5 | #4794 | semidirect |
| 190. C3 | #65084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91836 | 2 |
| #91470 | 2 |
| C5×#835 | 2 |
| C3×#3967 | 2 |
| #90969 | 2 |
| #90968 | 2 |
| #90954 | 2 |
| #65084 | 3 |
| #4794 | 5 |