Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
380 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 112 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×C3×C4×Dic5 | C2 | semidirect |
| 3. C2×#6669 | C2 | semidirect |
| 6. C5×C3⋊#95 | C2 | semidirect |
| 7. #90994 | C2 | semidirect |
| 16. #6714 | C4 | semidirect |
| 26. C2×C4×Dic5 | D3 | semidirect |
| 61. C3⋊#95 | D5 | semidirect |
| 206. C3×C5 | #388 | semidirect |
| 269. C5 | #4940 | semidirect |
| 290. C3 | #64958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6714 | 2 |
| C2×C3×C4×Dic5 | 2 |
| C2×#6669 | 2 |
| C2×#6667 | 2 |
| C5×C3⋊#95 | 2 |
| #90994 | 2 |
| #64958 | 3 |
| #4940 | 5 |