Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
516 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 221 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. #91992 | C2 | semidirect |
| 3. #91990 | C2 | semidirect |
| 4. D5⋊#208 | C2 | semidirect |
| 5. C2×#6758 | C2 | semidirect |
| 14. #6762 | C22 | semidirect |
| 15. C2×C3⋊#170 | C22 | semidirect |
| 18. #6758 | C22 | semidirect |
| 19. D5⋊(C3⋊C8) | C22 | semidirect |
| 138. C3×C5 | #568 | semidirect |
| 169. C5 | #5819 | semidirect |
| 178. C3 | #66264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D5×#41 | 2 |
| #91992 | 2 |
| #91990 | 2 |
| D5⋊#208 | 2 |
| C2×#6758 | 2 |
| #66264 | 3 |
| #5819 | 5 |