Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
200 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 66 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. C5×#4463 | C2 | semidirect |
| 3. C3×C8×#168 | C2 | semidirect |
| 15. C8×#168 | D3 | semidirect |
| 21. Dic60 | C8 | semidirect |
| 22. D120 | C8 | semidirect |
| 30. #4463 | D5 | semidirect |
| 143. C3×C5 | #1335 | semidirect |
| 168. C5 | #67441 | semidirect |
| 175. C3 | #10598059 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750801 | 2 |
| C5×#4463 | 2 |
| C3×C8×#168 | 2 |
| #10598059 | 3 |
| #67441 | 5 |