Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
492 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 98 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. #11750936 | C2 | semidirect |
| 3. #11747015 | C2 | semidirect |
| 4. C5×#4485 | C2 | semidirect |
| 5. C3×#64702 | C2 | semidirect |
| 6. #11745855 | C2 | semidirect |
| 7. #11745853 | C2 | semidirect |
| 33. #64702 | D3 | semidirect |
| 64. #4485 | D5 | semidirect |
| 314. C3×C5 | #1557 | semidirect |
| 368. C5 | #68429 | semidirect |
| 385. C3 | #10599181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752559 | 2 |
| #11750936 | 2 |
| #11747015 | 2 |
| C5×#4485 | 2 |
| C3×#64702 | 2 |
| #11745855 | 2 |
| #11745853 | 2 |
| #10599181 | 3 |
| #68429 | 5 |