Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. C3×C5×#107 | C2 | semidirect |
| 4. #91102 | C2 | semidirect |
| 5. #91092 | C2 | semidirect |
| 14. C8×D15 | C4 | semidirect |
| 18. C5×#107 | D3 | semidirect |
| 32. C3×#107 | D5 | semidirect |
| 73. #107 | D15 | semidirect |
| 105. C3×C5 | #427 | semidirect |
| 132. C5 | #4880 | semidirect |
| 142. C3 | #65169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×D15 | 2 |
| #91781 | 2 |
| C3×C5×#107 | 2 |
| #91102 | 2 |
| #91092 | 2 |
| #65169 | 3 |
| #4880 | 5 |