Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
560 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 88 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. #11752051 | C2 | semidirect |
| 3. D3×C22⋊#170 | C2 | semidirect |
| 4. #11746804 | C2 | semidirect |
| 5. C3×#64933 | C2 | semidirect |
| 6. #11746569 | C2 | semidirect |
| 7. #11746569 | C2 | semidirect |
| 33. #64933 | D3 | semidirect |
| 395. C3×C5 | #1468 | semidirect |
| 472. C5 | #68122 | semidirect |
| 498. C3 | #10604935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91555 | 2 |
| #11752051 | 2 |
| D3×C22⋊#170 | 2 |
| #11746804 | 2 |
| C3×#64933 | 2 |
| #11746569 | 2 |
| #10604935 | 3 |
| #68122 | 5 |