Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 92 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. C2×C5×#904 | C2 | semidirect |
| 2. #11751216 | C2 | semidirect |
| 3. C2×#90945 | C2 | semidirect |
| 4. C2×#90939 | C2 | semidirect |
| 5. C3×C22⋊#672 | C2 | semidirect |
| 6. #11745900 | C2 | semidirect |
| 7. #11745894 | C2 | semidirect |
| 31. C22⋊#672 | D3 | semidirect |
| 50. C5×Dic12 | D4 | semidirect |
| 52. C5×D24 | D4 | semidirect |
| 56. C2×#904 | D5 | semidirect |
| 177. Dic12 | C22⋊D5 | semidirect |
| 181. D24 | C22⋊D5 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69109 | semidirect |
| 352. C3 | #10602875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#904 | 2 |
| #11751216 | 2 |
| C2×#90945 | 2 |
| C2×#90939 | 2 |
| C3×C22⋊#672 | 2 |
| #11745900 | 2 |
| #11745894 | 2 |
| #10602875 | 3 |
| #69109 | 5 |