Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 86 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. #11751285 | C2 | semidirect |
| 4. C5×#4565 | C2 | semidirect |
| 5. #11745934 | C2 | semidirect |
| 7. #11745878 | C2 | semidirect |
| 18. C3×#3961 | C4 | semidirect |
| 19. C3×#3960 | C4 | semidirect |
| 52. #4565 | D5 | semidirect |
| 62. #3961 | Dic3 | semidirect |
| 63. #3960 | Dic3 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #71521 | semidirect |
| 255. C3 | #10600057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751285 | 2 |
| C3×#65468 | 2 |
| #11748071 | 2 |
| C5×#4565 | 2 |
| #11745934 | 2 |
| #11745910 | 2 |
| #11745878 | 2 |
| #10600057 | 3 |
| #71521 | 5 |