Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
472 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 132 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. #91782 | C2 | semidirect |
| 2. C5×#893 | C2 | semidirect |
| 3. C3×#4033 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 6. C4×#1203 | C2 | semidirect |
| 7. #91374 | C2 | semidirect |
| 8. #91370 | C2 | semidirect |
| 9. #91355 | C2 | semidirect |
| 10. #91351 | C2 | semidirect |
| 11. #91350 | C2 | semidirect |
| 43. #4033 | D3 | semidirect |
| 73. #893 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5585 | semidirect |
| 297. C3 | #65893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91782 | 2 |
| C5×#893 | 2 |
| C3×#4033 | 2 |
| C4×#1204 | 2 |
| #91451 | 2 |
| C4×#1203 | 2 |
| #91374 | 2 |
| #91370 | 2 |
| #91355 | 2 |
| #91351 | 2 |
| #91350 | 2 |
| #65893 | 3 |
| #5585 | 5 |