Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
404 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 1. C22×C5×Dic6 | C2 | semidirect |
| 4. C3×#3963 | C2 | semidirect |
| 5. #90994 | C2 | semidirect |
| 21. #3963 | D3 | semidirect |
| 27. C22×D15 | Q8 | semidirect |
| 39. C22×Dic6 | D5 | semidirect |
| 145. C3×C5 | #393 | semidirect |
| 189. C5 | #4673 | semidirect |
| 204. C3 | #65520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C5×Dic6 | 2 |
| C2×#6714 | 2 |
| C2×#6667 | 2 |
| C3×#3963 | 2 |
| #90994 | 2 |
| #65520 | 3 |
| #4673 | 5 |