Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
292 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 292 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. C3×#65184 | C2 | semidirect |
| 2. #11748064 | C2 | semidirect |
| 4. #11746318 | C2 | semidirect |
| 5. C5×#4493 | C2 | semidirect |
| 6. #11745903 | C2 | semidirect |
| 7. Dic5×C3⋊C16 | C2 | semidirect |
| 20. #90947 | C4 | semidirect |
| 21. #90943 | C4 | semidirect |
| 22. #90942 | C4 | semidirect |
| 23. #90938 | C4 | semidirect |
| 27. #65184 | D3 | semidirect |
| 57. #4493 | D5 | semidirect |
| 240. C3×C5 | #2178 | semidirect |
| 273. C5 | #70921 | semidirect |
| 282. C3 | #10600150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65184 | 2 |
| #11748064 | 2 |
| #11747542 | 2 |
| #11746318 | 2 |
| C5×#4493 | 2 |
| #11745903 | 2 |
| Dic5×C3⋊C16 | 2 |
| #10600150 | 3 |
| #70921 | 5 |