Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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. #11750817 | C2 | semidirect |
| 5. #11746317 | C2 | semidirect |
| 6. #11746315 | C2 | semidirect |
| 7. #11746287 | C2 | semidirect |
| 16. #91113 | C4 | semidirect |
| 17. #91111 | C4 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #70928 | semidirect |
| 255. C3 | #10601721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#444 | 2 |
| #11751296 | 2 |
| #11750817 | 2 |
| #11746387 | 2 |
| #11746317 | 2 |
| #11746315 | 2 |
| #11746287 | 2 |
| #10601721 | 3 |
| #70928 | 5 |