Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
512 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 111 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. C2×#91111 | C2 | semidirect |
| 3. #11751217 | C2 | semidirect |
| 4. #11746383 | C2 | semidirect |
| 5. #11746370 | C2 | semidirect |
| 13. C2×Dic60 | C22 | semidirect |
| 15. #91102 | C22 | semidirect |
| 17. C2×C3⋊#672 | C22 | semidirect |
| 117. C22×C3×C5 | SD32 | semidirect |
| 200. C22×C5 | #827 | semidirect |
| 225. C3×C5 | #2187 | semidirect |
| 232. C22×C3 | #3959 | semidirect |
| 267. C5 | #72036 | semidirect |
| 274. C22 | #91111 | semidirect |
| 281. C3 | #10602829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×C5×D8 | 2 |
| C2×#91111 | 2 |
| #11751217 | 2 |
| #11746383 | 2 |
| #11746370 | 2 |
| #10602829 | 3 |
| #72036 | 5 |