Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
264 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 84 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. Dic3×D20 | C2 | semidirect |
| 3. #91101 | C2 | semidirect |
| 4. C5×#815 | C2 | semidirect |
| 5. #90965 | C2 | semidirect |
| 13. C3×D40 | C4 | semidirect |
| 26. C3×D20 | C2×C4 | semidirect |
| 28. C3×C5×C8 | C2×C4 | semidirect |
| 34. #815 | D5 | semidirect |
| 42. D40 | Dic3 | semidirect |
| 65. D20 | C2×Dic3 | semidirect |
| 68. C5×C8 | C2×Dic3 | semidirect |
| 84. C3×C8 | C4×D5 | semidirect |
| 102. C3×C5 | #442 | semidirect |
| 122. C8 | D5×Dic3 | semidirect |
| 126. C5 | #5152 | semidirect |
| 135. C3 | #65000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×D40 | 2 |
| Dic3×D20 | 2 |
| #91101 | 2 |
| C5×#815 | 2 |
| #90965 | 2 |
| #65000 | 3 |
| #5152 | 5 |