Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
216 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 66 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. C5×#888 | C2 | semidirect |
| 4. C3×#3939 | C2 | semidirect |
| 5. #90989 | C2 | semidirect |
| 6. Dic3⋊#168 | C2 | semidirect |
| 26. #3939 | D3 | semidirect |
| 32. D60 | Q8 | semidirect |
| 42. #888 | D5 | semidirect |
| 141. C3×C5 | #474 | semidirect |
| 174. C5 | #4890 | semidirect |
| 186. C3 | #65376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#888 | 2 |
| #91428 | 2 |
| #91093 | 2 |
| C3×#3939 | 2 |
| #90989 | 2 |
| Dic3⋊#168 | 2 |
| #90969 | 2 |
| #65376 | 3 |
| #4890 | 5 |