Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
244 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 78 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. #91340 | C2 | semidirect |
| 4. #91100 | C2 | semidirect |
| 5. C5×C8×Dic3 | C2 | semidirect |
| 7. #90987 | C2 | semidirect |
| 20. #6657 | C4 | semidirect |
| 34. Dic30 | C2×C4 | semidirect |
| 42. C5×C3⋊C8 | C2×C4 | semidirect |
| 48. C8×Dic3 | D5 | semidirect |
| 73. C5×Dic3 | SD16 | semidirect |
| 124. C3⋊C8 | C4×D5 | semidirect |
| 148. C3×C5 | C4×SD16 | semidirect |
| 159. Dic3 | #677 | semidirect |
| 182. C5 | #4758 | semidirect |
| 194. C3 | C4×#677 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic3×D20 | 2 |
| #91340 | 2 |
| C2×#6657 | 2 |
| #91100 | 2 |
| C5×C8×Dic3 | 2 |
| C3×#3953 | 2 |
| #90987 | 2 |
| C4×#677 | 3 |
| #4758 | 5 |