Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
304 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 58 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. #91798 | C2 | semidirect |
| 3. #91373 | C2 | semidirect |
| 4. #91313 | C2 | semidirect |
| 5. C5×#823 | C2 | semidirect |
| 6. C3×#3957 | C2 | semidirect |
| 7. #90981 | C2 | semidirect |
| 10. C2×Dic30 | C22 | semidirect |
| 18. C3×C5×M16 | C22 | semidirect |
| 21. C5×#208 | C22 | semidirect |
| 22. C3×C4×Dic5 | C22 | semidirect |
| 33. #3957 | D3 | semidirect |
| 61. #823 | D5 | semidirect |
| 73. C5×M16 | C2×D3 | semidirect |
| 75. C4×Dic5 | C2×D3 | semidirect |
| 102. C3×M16 | C2×D5 | semidirect |
| 107. #208 | C2×D5 | semidirect |
| 192. M16 | D3×D5 | semidirect |
| 195. C3×C5 | #455 | semidirect |
| 240. C5 | #4825 | semidirect |
| 253. C3 | #65035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #92018 | 2 |
| #91798 | 2 |
| #91373 | 2 |
| #91313 | 2 |
| C5×#823 | 2 |
| C3×#3957 | 2 |
| #90981 | 2 |
| #65035 | 3 |
| #4825 | 5 |