Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 2. C3×#65034 | C2 | semidirect |
| 3. #11749172 | C2 | semidirect |
| 4. #11746296 | C2 | semidirect |
| 5. C5×#4475 | C2 | semidirect |
| 6. #11745999 | C2 | semidirect |
| 7. #11745997 | C2 | semidirect |
| 10. C22×#1203 | C4 | semidirect |
| 14. #91572 | C4 | semidirect |
| 15. #91568 | C4 | semidirect |
| 19. #91528 | C4 | semidirect |
| 30. #65034 | D3 | semidirect |
| 77. #4475 | D5 | semidirect |
| 411. C3×C5 | #2122 | semidirect |
| 486. C5 | #70146 | semidirect |
| 511. C3 | #10599930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754940 | 2 |
| C3×#65034 | 2 |
| #11749172 | 2 |
| #11746296 | 2 |
| C5×#4475 | 2 |
| #11745999 | 2 |
| #11745997 | 2 |
| #10599930 | 3 |
| #70146 | 5 |