Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 74 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. C22×C3⋊#168 | C2 | semidirect |
| 2. C5×#930 | C2 | semidirect |
| 3. C3×#4076 | C2 | semidirect |
| 4. C2×#6652 | C2 | semidirect |
| 5. #90989 | C2 | semidirect |
| 6. #90966 | C2 | semidirect |
| 7. #90964 | C2 | semidirect |
| 25. #4076 | D3 | semidirect |
| 46. C3⋊#168 | D4 | semidirect |
| 49. #930 | D5 | semidirect |
| 70. C22×C3×C5 | D8 | semidirect |
| 148. C22×C5 | #213 | semidirect |
| 171. C3×C5 | #466 | semidirect |
| 177. C22×C3 | #686 | semidirect |
| 216. C5 | #5038 | semidirect |
| 225. C22 | #6652 | semidirect |
| 232. C3 | #65327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3⋊#168 | 2 |
| C5×#930 | 2 |
| C3×#4076 | 2 |
| C2×#6652 | 2 |
| #90989 | 2 |
| #90966 | 2 |
| #90964 | 2 |
| #65327 | 3 |
| #5038 | 5 |