Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
452 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 74 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. #11753959 | C2 | semidirect |
| 2. #11751248 | C2 | semidirect |
| 3. C5×#5147 | C2 | semidirect |
| 4. C3×#65448 | C2 | semidirect |
| 5. #11745913 | C2 | semidirect |
| 6. #11745911 | C2 | semidirect |
| 7. #11745882 | C2 | semidirect |
| 10. C2×C3×C5×D8 | C22 | semidirect |
| 22. #91096 | C22 | semidirect |
| 25. C5×#812 | C22 | semidirect |
| 27. C3×#3949 | C22 | semidirect |
| 31. #65448 | D3 | semidirect |
| 52. Dic60 | D4 | semidirect |
| 53. D120 | D4 | semidirect |
| 55. C5×Dic12 | D4 | semidirect |
| 56. C5×D24 | D4 | semidirect |
| 72. #5147 | D5 | semidirect |
| 78. C2×C5×D8 | C2×D3 | semidirect |
| 93. #3949 | C2×D3 | semidirect |
| 126. C2×C3×D8 | C2×D5 | semidirect |
| 143. #812 | C2×D5 | semidirect |
| 222. Dic12 | C22⋊D5 | semidirect |
| 225. D24 | C22⋊D5 | semidirect |
| 269. C2×D8 | D3×D5 | semidirect |
| 363. C3×C5 | #2190 | semidirect |
| 420. C5 | #71089 | semidirect |
| 436. C3 | #10602309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753959 | 2 |
| #11751248 | 2 |
| C5×#5147 | 2 |
| C3×#65448 | 2 |
| #11745913 | 2 |
| #11745911 | 2 |
| #11745882 | 2 |
| #10602309 | 3 |
| #71089 | 5 |