Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 84 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. #11746930 | C2 | semidirect |
| 5. #11746303 | C2 | semidirect |
| 6. C5×#4481 | C2 | semidirect |
| 7. #11745864 | C2 | semidirect |
| 54. #4481 | D5 | semidirect |
| 245. C3×C5 | #1703 | semidirect |
| 285. C5 | #70876 | semidirect |
| 298. C3 | #10599296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65127 | 2 |
| #11746930 | 2 |
| #11746889 | 2 |
| #11746880 | 2 |
| #11746303 | 2 |
| C5×#4481 | 2 |
| #11745864 | 2 |
| #10599296 | 3 |
| #70876 | 5 |