Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 74. Dic15 | Q16 | semidirect |
| 150. C3×C5 | #462 | semidirect |
| 181. C5 | #5182 | semidirect |
| 191. C3 | #65471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×Q16 | 2 |
| Q8×Dic15 | 2 |
| #91833 | 2 |
| C2×#6718 | 2 |
| #91119 | 2 |
| #91100 | 2 |
| #91098 | 2 |
| #65471 | 3 |
| #5182 | 5 |