Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 82 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. #11750817 | C2 | semidirect |
| 4. C5×#4466 | C2 | semidirect |
| 5. #11745938 | C2 | semidirect |
| 6. #11745925 | C2 | semidirect |
| 20. #90947 | C4 | semidirect |
| 21. #90942 | C4 | semidirect |
| 54. #4466 | D5 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #70928 | semidirect |
| 255. C3 | #10599883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750817 | 2 |
| C3×#65006 | 2 |
| #11747554 | 2 |
| C5×#4466 | 2 |
| #11745938 | 2 |
| #11745925 | 2 |
| #11745910 | 2 |
| #10599883 | 3 |
| #70928 | 5 |