Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
244 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #91776 | C2 | semidirect |
| 4. C3×C5×#106 | C2 | semidirect |
| 5. C8×Dic15 | C2 | semidirect |
| 6. #91094 | C2 | semidirect |
| 20. #6706 | C4 | semidirect |
| 25. C5×#106 | D3 | semidirect |
| 40. Dic30 | C2×C4 | semidirect |
| 41. C3×C5×C8 | C2×C4 | semidirect |
| 46. C3×#106 | D5 | semidirect |
| 73. Dic15 | SD16 | semidirect |
| 98. C5×C8 | C4×D3 | semidirect |
| 103. #106 | D15 | semidirect |
| 123. C3×C8 | C4×D5 | semidirect |
| 148. C3×C5 | C4×SD16 | semidirect |
| 177. C8 | C4×D15 | semidirect |
| 182. C5 | #4852 | semidirect |
| 194. C3 | #65141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6706 | 2 |
| #91782 | 2 |
| #91776 | 2 |
| C3×C5×#106 | 2 |
| C8×Dic15 | 2 |
| #91094 | 2 |
| #91093 | 2 |
| #65141 | 3 |
| #4852 | 5 |