Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 106 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. #11750934 | C2 | semidirect |
| 3. #11747000 | C2 | semidirect |
| 4. C5×#4485 | C2 | semidirect |
| 5. C3×#64706 | C2 | semidirect |
| 6. #11745856 | C2 | semidirect |
| 7. #11745853 | C2 | semidirect |
| 32. #64706 | D3 | semidirect |
| 64. #4485 | D5 | semidirect |
| 314. C3×C5 | #1540 | semidirect |
| 368. C5 | #68417 | semidirect |
| 385. C3 | #10599174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752559 | 2 |
| #11750934 | 2 |
| #11747000 | 2 |
| C5×#4485 | 2 |
| C3×#64706 | 2 |
| #11745856 | 2 |
| #11745853 | 2 |
| #10599174 | 3 |
| #68417 | 5 |