Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 75 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. #11751297 | C2 | semidirect |
| 3. #11751296 | C2 | semidirect |
| 4. #11751256 | C2 | semidirect |
| 5. #11746384 | C2 | semidirect |
| 6. #11746338 | C2 | semidirect |
| 7. #11746332 | C2 | semidirect |
| 249. C3×C5 | #2212 | semidirect |
| 284. C5 | #71513 | semidirect |
| 294. C3 | #10602306 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#509 | 2 |
| #11751297 | 2 |
| #11751296 | 2 |
| #11751256 | 2 |
| #11746384 | 2 |
| #11746338 | 2 |
| #11746332 | 2 |
| #10602306 | 3 |
| #71513 | 5 |