Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
544 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 140 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. #11746351 | C2 | semidirect |
| 4. C3×#64750 | C2 | semidirect |
| 5. #11745986 | C2 | semidirect |
| 21. #64750 | D3 | semidirect |
| 235. C3×C5 | #1822 | semidirect |
| 284. C5 | #68991 | semidirect |
| 300. C3 | #10602382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#892 | 2 |
| #11748346 | 2 |
| #11746351 | 2 |
| C3×#64750 | 2 |
| #11745986 | 2 |
| #10602382 | 3 |
| #68991 | 5 |