Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
292 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 92 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. C5×#5196 | C2 | semidirect |
| 3. #11748066 | C2 | semidirect |
| 4. #11746388 | C2 | semidirect |
| 5. #11745945 | C2 | semidirect |
| 6. #11745903 | C2 | semidirect |
| 7. Dic3×#672 | C2 | semidirect |
| 18. C3×#3961 | C4 | semidirect |
| 19. C3×#3960 | C4 | semidirect |
| 20. C3×#3959 | C4 | semidirect |
| 21. C3×#3958 | C4 | semidirect |
| 54. #5196 | D5 | semidirect |
| 66. #3961 | Dic3 | semidirect |
| 67. #3960 | Dic3 | semidirect |
| 68. #3959 | Dic3 | semidirect |
| 69. #3958 | Dic3 | semidirect |
| 240. C3×C5 | #2178 | semidirect |
| 273. C5 | #71511 | semidirect |
| 282. C3 | #10601714 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5196 | 2 |
| C3×#65483 | 2 |
| #11748066 | 2 |
| #11746388 | 2 |
| #11745945 | 2 |
| #11745903 | 2 |
| Dic3×#672 | 2 |
| #10601714 | 3 |
| #71511 | 5 |