Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
380 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 100 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. C3×#64970 | C2 | semidirect |
| 4. #11746947 | C2 | semidirect |
| 5. #11746923 | C2 | semidirect |
| 7. C8×C3⋊#168 | C2 | semidirect |
| 28. #64970 | D3 | semidirect |
| 224. C3×C5 | #1708 | semidirect |
| 259. C5 | #71213 | semidirect |
| 270. C3 | #10601974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4694 | 2 |
| C3×#64970 | 2 |
| #11747081 | 2 |
| #11746947 | 2 |
| #11746923 | 2 |
| #11746901 | 2 |
| C8×C3⋊#168 | 2 |
| #10601974 | 3 |
| #71213 | 5 |