Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
496 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 152 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 |
|---|---|---|
| 1. #92101 | C2 | semidirect |
| 2. C5×#1010 | C2 | semidirect |
| 3. C3×#4094 | C2 | semidirect |
| 4. #91322 | C2 | semidirect |
| 5. #91321 | C2 | semidirect |
| 6. C2×#6663 | C2 | semidirect |
| 7. #91303 | C2 | semidirect |
| 30. #4094 | D3 | semidirect |
| 51. #1010 | D5 | semidirect |
| 165. C3×C5 | #578 | semidirect |
| 198. C5 | #5753 | semidirect |
| 206. C3 | #66172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #92101 | 2 |
| C5×#1010 | 2 |
| C3×#4094 | 2 |
| #91322 | 2 |
| #91321 | 2 |
| C2×#6663 | 2 |
| #91303 | 2 |
| #66172 | 3 |
| #5753 | 5 |