Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
308 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 104 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. #91815 | C2 | semidirect |
| 3. C2×C5×#208 | C2 | semidirect |
| 4. #90976 | C2 | semidirect |
| 10. C3×#709 | C4 | semidirect |
| 12. C2×C3×D20 | C4 | semidirect |
| 14. C2×C3×Dic10 | C4 | semidirect |
| 17. C4×Dic15 | C22 | semidirect |
| 19. C5×#208 | C22 | semidirect |
| 47. C2×#208 | D5 | semidirect |
| 53. #709 | Dic3 | semidirect |
| 55. C2×D20 | Dic3 | semidirect |
| 57. C2×Dic10 | Dic3 | semidirect |
| 90. #208 | C2×D5 | semidirect |
| 166. C3×C5 | #421 | semidirect |
| 208. C5 | #5236 | semidirect |
| 221. C3 | #65428 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#709 | 2 |
| #91815 | 2 |
| C2×C5×#208 | 2 |
| #90976 | 2 |
| #65428 | 3 |
| #5236 | 5 |