Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 208 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 |
|---|---|---|
| 3. C3×C5×#107 | C2 | semidirect |
| 5. C5×#816 | C2 | semidirect |
| 6. C5×#810 | C2 | semidirect |
| 7. C5×#807 | C2 | semidirect |
| 20. #4884 | C5 | direct (N × H) |
| 24. C5×#107 | D3 | semidirect |
| 44. C3×#107 | C2×C5 | semidirect |
| 46. #816 | C2×C5 | semidirect |
| 47. #810 | C2×C5 | semidirect |
| 48. #807 | C2×C5 | semidirect |
| 100. #107 | C5×D3 | semidirect |
| 144. C3×C5 | #484 | semidirect |
| 178. C5 | #4884 | direct (N × H) |
| 190. C3 | C5×#484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#897 | 2 |
| C5×D3×C4⋊C4 | 2 |
| C3×C5×#107 | 2 |
| C5×(C2×D3)⋊C8 | 2 |
| C5×#816 | 2 |
| C5×#810 | 2 |
| C5×#807 | 2 |
| C5×#484 | 3 |
| #4884 | 5 |