Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
188 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 188 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 |
|---|---|---|
| 39. C3⋊#168 | Q8 | semidirect |
| 133. C3×C5 | #446 | semidirect |
| 161. C5 | #4828 | semidirect |
| 171. C3 | #65117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Dic30 | 2 |
| C3×C5×C4⋊C8 | 2 |
| #91099 | 2 |
| #91098 | 2 |
| C8×Dic15 | 2 |
| #91087 | 2 |
| #65117 | 3 |
| #4828 | 5 |