Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 4. #91177 | C2 | semidirect |
| 5. Dic3⋊#170 | C2 | semidirect |
| 6. #91169 | C2 | semidirect |
| 7. Dic3×#170 | C2 | semidirect |
| 141. C3×C5 | #433 | semidirect |
| 174. C5 | #4720 | semidirect |
| 186. C3 | #65697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91528 | 2 |
| #91241 | 2 |
| C3×C22⋊#170 | 2 |
| #91177 | 2 |
| Dic3⋊#170 | 2 |
| #91169 | 2 |
| Dic3×#170 | 2 |
| #65697 | 3 |
| #4720 | 5 |