Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
240 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 2. #91833 | C2 | semidirect |
| 5. #91119 | C2 | semidirect |
| 6. #91100 | C2 | semidirect |
| 7. #91098 | C2 | semidirect |
| 77. Dic15 | SD16 | semidirect |
| 158. C3×C5 | #461 | semidirect |
| 194. C5 | #5162 | semidirect |
| 206. C3 | #65451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×SD16 | 2 |
| #91833 | 2 |
| D4×Dic15 | 2 |
| C2×#6716 | 2 |
| #91119 | 2 |
| #91100 | 2 |
| #91098 | 2 |
| #65451 | 3 |
| #5162 | 5 |