Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
340 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 92 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. C2×#6669 | C2 | semidirect |
| 5. C5×C3⋊#95 | C2 | semidirect |
| 6. C3×#3963 | C2 | semidirect |
| 7. #90994 | C2 | semidirect |
| 27. #3963 | D3 | semidirect |
| 60. C3⋊#95 | D5 | semidirect |
| 202. C3×C5 | #397 | semidirect |
| 265. C5 | #4675 | semidirect |
| 286. C3 | #64964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6714 | 2 |
| C2×#6669 | 2 |
| C2×#6667 | 2 |
| C5×C3⋊#95 | 2 |
| C3×#3963 | 2 |
| #90994 | 2 |
| #64964 | 3 |
| #4675 | 5 |