Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 76 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×#66017 | C2 | semidirect |
| 2. C5×#5058 | C2 | semidirect |
| 3. #11747042 | C2 | semidirect |
| 4. #11746361 | C2 | semidirect |
| 5. #11745846 | C2 | semidirect |
| 10. C5×#874 | C22 | semidirect |
| 18. #91087 | C22 | semidirect |
| 19. C5×#803 | C22 | semidirect |
| 21. #66017 | D3 | semidirect |
| 50. #5058 | D5 | semidirect |
| 98. #874 | C2×D5 | semidirect |
| 100. #803 | C2×D5 | semidirect |
| 258. C3×C5 | #1655 | semidirect |
| 303. C5 | #71948 | semidirect |
| 317. C3 | #10602119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#66017 | 2 |
| C5×#5058 | 2 |
| #11747042 | 2 |
| #11746361 | 2 |
| #11745846 | 2 |
| #10602119 | 3 |
| #71948 | 5 |