Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
700 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 207 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 |
|---|---|---|
| 1. #11756512 | C2 | semidirect |
| 2. C3×C5×#504 | C2 | semidirect |
| 3. #11751010 | C2 | semidirect |
| 4. C2×Dic120 | C2 | semidirect |
| 5. #11751005 | C2 | semidirect |
| 20. C5×#504 | D3 | semidirect |
| 38. C3×#504 | D5 | semidirect |
| 93. #504 | D15 | semidirect |
| 166. C3×C5 | #3417 | semidirect |
| 189. C5 | #82015 | semidirect |
| 195. C3 | #10613746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756512 | 2 |
| C3×C5×#504 | 2 |
| #11751010 | 2 |
| C2×Dic120 | 2 |
| #11751005 | 2 |
| #10613746 | 3 |
| #82015 | 5 |