Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11750951 | C2 | semidirect |
| 4. #11750931 | C2 | semidirect |
| 6. #11746302 | C2 | semidirect |
| 7. #11746301 | C2 | semidirect |
| 248. C3×C5 | #1678 | semidirect |
| 289. C5 | #68410 | semidirect |
| 302. C3 | #10599203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751176 | 2 |
| #11751171 | 2 |
| #11750951 | 2 |
| #11750931 | 2 |
| C3×C5×#331 | 2 |
| #11746302 | 2 |
| #11746301 | 2 |
| #10599203 | 3 |
| #68410 | 5 |