Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 94 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. C4×#6758 | C2 | semidirect |
| 3. C3×#65684 | C2 | semidirect |
| 4. #11746505 | C2 | semidirect |
| 5. #11746504 | C2 | semidirect |
| 19. #91231 | C22 | semidirect |
| 23. C3×#4002 | C22 | semidirect |
| 26. #65684 | D3 | semidirect |
| 78. #4002 | C2×D3 | semidirect |
| 326. C3×C5 | #1527 | semidirect |
| 384. C5 | #70804 | semidirect |
| 404. C3 | #10604542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#875 | 2 |
| C4×#6758 | 2 |
| C3×#65684 | 2 |
| #11746505 | 2 |
| #11746504 | 2 |
| #10604542 | 3 |
| #70804 | 5 |