Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
208 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 8. C2×C3×Dic20 | C4 | semidirect |
| 10. C3×#3949 | C4 | semidirect |
| 35. C2×Dic20 | Dic3 | semidirect |
| 37. #3949 | Dic3 | semidirect |
| 153. C3×C5 | #1340 | semidirect |
| 181. C5 | #67780 | semidirect |
| 191. C3 | #10598027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65426 | 2 |
| #11746378 | 2 |
| C5×#4553 | 2 |
| #10598027 | 3 |
| #67780 | 5 |