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 |
|---|---|---|
| 1. C3×C5×#131 | C2 | semidirect |
| 2. C3×#4097 | C2 | semidirect |
| 4. C2×C3×#677 | C2 | semidirect |
| 5. C3×#3956 | C2 | semidirect |
| 6. C3×#3955 | C2 | semidirect |
| 7. C3×#3951 | C2 | semidirect |
| 8. #65430 | C3 | direct (N × H) |
| 25. C5×#131 | C2×C3 | semidirect |
| 26. #4097 | C2×C3 | semidirect |
| 28. C2×#677 | C2×C3 | semidirect |
| 29. #3956 | C2×C3 | semidirect |
| 30. #3955 | C2×C3 | semidirect |
| 31. #3951 | C2×C3 | semidirect |
| 51. C3×#131 | D5 | semidirect |
| 113. #131 | C3×D5 | semidirect |
| 160. C3×C5 | #471 | semidirect |
| 193. C5 | C3×#471 | semidirect |
| 202. C3 | #65430 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#131 | 2 |
| C3×#4097 | 2 |
| C3×#4095 | 2 |
| C2×C3×#677 | 2 |
| C3×#3956 | 2 |
| C3×#3955 | 2 |
| C3×#3951 | 2 |
| #65430 | 3 |
| C3×#471 | 5 |