Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 424 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. Q8×Dic15 | C2 | semidirect |
| 2. C5×#944 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 6. #91422 | C2 | semidirect |
| 7. #91394 | C2 | semidirect |
| 9. #91366 | C2 | semidirect |
| 10. #91362 | C2 | semidirect |
| 11. Dic5×Dic6 | C2 | semidirect |
| 66. #944 | D5 | semidirect |
| 220. C3×C5 | #556 | semidirect |
| 259. C5 | #5671 | semidirect |
| 274. C3 | #66066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic15 | 2 |
| C5×#944 | 2 |
| C3×#4093 | 2 |
| C4×#1204 | 2 |
| Dic3×D20 | 2 |
| #91422 | 2 |
| #91394 | 2 |
| #91368 | 2 |
| #91366 | 2 |
| #91362 | 2 |
| Dic5×Dic6 | 2 |
| #66066 | 3 |
| #5671 | 5 |