Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
380 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 108 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. C2×Dic3×Dic5 | C2 | semidirect |
| 6. #91115 | C2 | semidirect |
| 7. C5×C3⋊#95 | C2 | semidirect |
| 19. #6665 | C4 | semidirect |
| 61. C3⋊#95 | D5 | semidirect |
| 206. C3×C5 | #388 | semidirect |
| 269. C5 | #4945 | 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×C3×#685 | 2 |
| C2×#6669 | 2 |
| C2×#6665 | 2 |
| C2×Dic3×Dic5 | 2 |
| #91115 | 2 |
| C5×C3⋊#95 | 2 |
| #64958 | 3 |
| #4945 | 5 |