Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
520 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 106 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. #11752011 | C2 | semidirect |
| 5. #11746576 | C2 | semidirect |
| 298. C3×C5 | #1868 | semidirect |
| 346. C5 | #70002 | semidirect |
| 361. C3 | #10603921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756985 | 2 |
| C3×#65775 | 2 |
| #11752011 | 2 |
| #11749172 | 2 |
| #11746576 | 2 |
| #10603921 | 3 |
| #70002 | 5 |