Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 78 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. #11747854 | C2 | semidirect |
| 4. #11746317 | C2 | semidirect |
| 5. C5×#4494 | C2 | semidirect |
| 7. #11745876 | C2 | semidirect |
| 20. #90947 | C4 | semidirect |
| 21. #90942 | C4 | semidirect |
| 53. #4494 | D5 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #70928 | semidirect |
| 255. C3 | #10600102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65183 | 2 |
| #11747854 | 2 |
| #11747554 | 2 |
| #11746317 | 2 |
| C5×#4494 | 2 |
| #11745909 | 2 |
| #11745876 | 2 |
| #10600102 | 3 |
| #70928 | 5 |