Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 208 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 |
|---|---|---|
| 3. C5×#810 | C2 | semidirect |
| 4. C3×#3939 | C2 | semidirect |
| 5. #90990 | C2 | semidirect |
| 6. #90973 | C2 | semidirect |
| 27. #3939 | D3 | semidirect |
| 47. #810 | D5 | semidirect |
| 144. C3×C5 | #484 | semidirect |
| 178. C5 | #4884 | semidirect |
| 190. C3 | #65098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×D15 | 2 |
| #91383 | 2 |
| C5×#810 | 2 |
| C3×#3939 | 2 |
| #90990 | 2 |
| #90973 | 2 |
| #90957 | 2 |
| #65098 | 3 |
| #4884 | 5 |