Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
496 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 90 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. #11752342 | C2 | semidirect |
| 3. C3×#65683 | C2 | semidirect |
| 4. #11746505 | C2 | semidirect |
| 5. #11746504 | C2 | semidirect |
| 19. #91231 | C22 | semidirect |
| 22. C3×#4002 | C22 | semidirect |
| 27. #65683 | D3 | semidirect |
| 76. #4002 | C2×D3 | semidirect |
| 322. C3×C5 | #1533 | semidirect |
| 380. C5 | #70808 | semidirect |
| 400. C3 | #10604543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#875 | 2 |
| #11752342 | 2 |
| C3×#65683 | 2 |
| #11746505 | 2 |
| #11746504 | 2 |
| #10604543 | 3 |
| #70808 | 5 |