Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 3. #11746325 | C2 | semidirect |
| 4. C3×#64724 | C2 | semidirect |
| 5. #11745944 | C2 | semidirect |
| 12. C5×D3×C16 | C4 | semidirect |
| 20. #64724 | D3 | semidirect |
| 63. D3×C16 | Dic5 | semidirect |
| 152. C3×C5 | #2158 | semidirect |
| 180. C5 | #69325 | semidirect |
| 190. C3 | #10602197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×D3×C16 | 2 |
| #11747682 | 2 |
| #11746325 | 2 |
| C3×#64724 | 2 |
| #11745944 | 2 |
| #10602197 | 3 |
| #69325 | 5 |