Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
188 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 28. C3⋊#170 | Q8 | semidirect |
| 100. C3×C5 | #446 | semidirect |
| 123. C5 | #4831 | semidirect |
| 131. C3 | #65709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91333 | 2 |
| C4×C3⋊#170 | 2 |
| C3×C4⋊#170 | 2 |
| Dic3⋊#170 | 2 |
| #91169 | 2 |
| #65709 | 3 |
| #4831 | 5 |