Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
664 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 664 conjugacy classes of subgroups — too many to draw. Only its 98 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. #11752343 | C2 | semidirect |
| 3. C3×#65684 | C2 | semidirect |
| 4. #11746508 | C2 | semidirect |
| 15. #91233 | C22 | semidirect |
| 18. C3×#4004 | C22 | semidirect |
| 24. #65684 | D3 | semidirect |
| 62. #4004 | C2×D3 | semidirect |
| 286. C3×C5 | #1555 | semidirect |
| 342. C5 | #70818 | semidirect |
| 360. C3 | #10604610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#874 | 2 |
| #11752343 | 2 |
| C3×#65684 | 2 |
| #11746508 | 2 |
| #10604610 | 3 |
| #70818 | 5 |