Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 78 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. C5×#926 | C2 | semidirect |
| 3. C5×#832 | C2 | semidirect |
| 4. C5×#832 | C2 | semidirect |
| 5. C5×#830 | C2 | semidirect |
| 6. C5×#808 | C2 | semidirect |
| 7. C5×#807 | C2 | semidirect |
| 20. #5035 | C5 | direct (N × H) |
| 43. #926 | C2×C5 | semidirect |
| 44. #832 | C2×C5 | semidirect |
| 45. #832 | C2×C5 | semidirect |
| 46. #830 | C2×C5 | semidirect |
| 47. #808 | C2×C5 | semidirect |
| 48. #807 | C2×C5 | semidirect |
| 149. C3×C5 | #482 | semidirect |
| 187. C5 | #5035 | direct (N × H) |
| 201. C3 | C5×#482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#121 | 2 |
| C5×#926 | 2 |
| C5×#832 | 2 |
| C5×#830 | 2 |
| C5×#808 | 2 |
| C5×#807 | 2 |
| C5×#482 | 3 |
| #5035 | 5 |