Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
204 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 69 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. #91759 | C2 | semidirect |
| 3. C3×C5×C4⋊C8 | C2 | semidirect |
| 6. #91102 | C2 | semidirect |
| 7. #91101 | C2 | semidirect |
| 23. C5×C4⋊C8 | D3 | semidirect |
| 42. C3×C4⋊C8 | D5 | semidirect |
| 97. C4⋊C8 | D15 | semidirect |
| 138. C3×C5 | #478 | semidirect |
| 170. C5 | #4847 | semidirect |
| 182. C3 | #65136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D60 | 2 |
| #91759 | 2 |
| C3×C5×C4⋊C8 | 2 |
| #91105 | 2 |
| #91102 | 2 |
| #91101 | 2 |
| #65136 | 3 |
| #4847 | 5 |