Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 268 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. #91434 | C2 | semidirect |
| 3. C8×Dic15 | C2 | semidirect |
| 4. C5×#818 | C2 | semidirect |
| 5. #90964 | C2 | semidirect |
| 13. C3×D40 | C4 | semidirect |
| 27. C3×D20 | C2×C4 | semidirect |
| 29. C3×C5×C8 | C2×C4 | semidirect |
| 34. #818 | D5 | semidirect |
| 43. D40 | Dic3 | semidirect |
| 52. Dic15 | D8 | semidirect |
| 68. D20 | C2×Dic3 | semidirect |
| 70. C5×C8 | C2×Dic3 | semidirect |
| 89. C3×C8 | C4×D5 | semidirect |
| 108. C3×C5 | C4×D8 | semidirect |
| 131. C8 | D5×Dic3 | semidirect |
| 136. C5 | Dic3×D8 | semidirect |
| 146. C3 | #65161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×D40 | 2 |
| #91434 | 2 |
| C8×Dic15 | 2 |
| C5×#818 | 2 |
| #90964 | 2 |
| #65161 | 3 |
| Dic3×D8 | 5 |