Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 524 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 |
|---|---|---|
| 4. #11745973 | C2 | semidirect |
| 5. #11745970 | C2 | semidirect |
| 11. #91815 | C4 | semidirect |
| 13. C2×C4×Dic15 | C4 | semidirect |
| 259. C3×C5 | #1827 | semidirect |
| 300. C5 | #70039 | semidirect |
| 314. C3 | #10600924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×Dic15 | 2 |
| C5×#5237 | 2 |
| C3×#65529 | 2 |
| #11745973 | 2 |
| #11745970 | 2 |
| #10600924 | 3 |
| #70039 | 5 |