Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
168 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 1. #91808 | C2 | semidirect |
| 2. #91279 | C2 | semidirect |
| 3. C5×#828 | C2 | semidirect |
| 4. C3×#3961 | C2 | semidirect |
| 5. #90943 | C2 | semidirect |
| 6. #90939 | C2 | semidirect |
| 7. #90933 | C2 | semidirect |
| 24. #3961 | D3 | semidirect |
| 43. #828 | D5 | semidirect |
| 127. C3×C5 | #508 | semidirect |
| 154. C5 | #4919 | semidirect |
| 162. C3 | #65205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91808 | 2 |
| #91279 | 2 |
| C5×#828 | 2 |
| C3×#3961 | 2 |
| #90943 | 2 |
| #90939 | 2 |
| #90933 | 2 |
| #65205 | 3 |
| #4919 | 5 |