Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1296 conjugacy classes of subgroups; only the 244 normal subgroups are shown.
This group has 1296 conjugacy classes of subgroups — too many to draw. Only its 244 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. C5×#4937 | C2 | semidirect |
| 3. C3×#65226 | C2 | semidirect |
| 4. #11748904 | C2 | semidirect |
| 9. #91763 | C4 | semidirect |
| 16. #65226 | D3 | semidirect |
| 22. C2×D60 | C2×C4 | semidirect |
| 26. C3×C42×C5 | C2×C4 | semidirect |
| 30. #4937 | D5 | semidirect |
| 65. C42×C5 | C4×D3 | semidirect |
| 87. C3×C42 | C4×D5 | semidirect |
| 136. C42 | #1200 | semidirect |
| 137. C3×C5 | #2380 | semidirect |
| 162. C5 | #74298 | semidirect |
| 171. C3 | #10606029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91763 | 2 |
| C5×#4937 | 2 |
| C3×#65226 | 2 |
| #11748904 | 2 |
| #10606029 | 3 |
| #74298 | 5 |