Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 134 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. #91835 | C2 | semidirect |
| 2. C5×Q8×Dic3 | C2 | semidirect |
| 3. C3×#4093 | C2 | semidirect |
| 5. Dic3×D20 | C2 | semidirect |
| 6. C4×#1200 | C2 | semidirect |
| 7. #91395 | C2 | semidirect |
| 8. #91393 | C2 | semidirect |
| 9. #91388 | C2 | semidirect |
| 10. #91361 | C2 | semidirect |
| 11. #91356 | C2 | semidirect |
| 38. #4093 | D3 | semidirect |
| 68. Q8×Dic3 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5680 | semidirect |
| 293. C3 | #65914 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91835 | 2 |
| C5×Q8×Dic3 | 2 |
| C3×#4093 | 2 |
| #91465 | 2 |
| Dic3×D20 | 2 |
| C4×#1200 | 2 |
| #91395 | 2 |
| #91393 | 2 |
| #91388 | 2 |
| #91361 | 2 |
| #91356 | 2 |
| #65914 | 3 |
| #5680 | 5 |