Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
380 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 112 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. #91815 | C2 | semidirect |
| 3. C2×C5×#208 | C2 | semidirect |
| 4. #90965 | C2 | semidirect |
| 10. C2×C3×D20 | C4 | semidirect |
| 13. C4⋊Dic15 | C22 | semidirect |
| 16. C2×C5×C3⋊C8 | C22 | semidirect |
| 37. C2×#208 | D5 | semidirect |
| 43. C2×D20 | Dic3 | semidirect |
| 71. C2×C3⋊C8 | C2×D5 | semidirect |
| 127. C3×C5 | #418 | semidirect |
| 159. C5 | #5215 | semidirect |
| 170. C3 | #65420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×D20 | 2 |
| #91815 | 2 |
| C2×C5×#208 | 2 |
| #90965 | 2 |
| #65420 | 3 |
| #5215 | 5 |