Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
208 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 56 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. D3×Dic40 | C2 | semidirect |
| 3. #11746270 | C2 | semidirect |
| 4. C5×#4447 | C2 | semidirect |
| 5. C3×Dic80 | C2 | semidirect |
| 6. #11745828 | C2 | semidirect |
| 7. #11745824 | C2 | semidirect |
| 25. Dic80 | D3 | semidirect |
| 45. #4447 | D5 | semidirect |
| 170. C3×C5 | #2264 | semidirect |
| 195. C5 | #69384 | semidirect |
| 203. C3 | #10600167 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11746838 | 2 |
| D3×Dic40 | 2 |
| #11746270 | 2 |
| C5×#4447 | 2 |
| C3×Dic80 | 2 |
| #11745828 | 2 |
| #11745824 | 2 |
| #10600167 | 3 |
| #69384 | 5 |