Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
256 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 62 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. #11746374 | C2 | semidirect |
| 3. C3×#64773 | C2 | semidirect |
| 15. #64773 | D3 | semidirect |
| 176. C3×C5 | #1320 | semidirect |
| 213. C5 | #67530 | semidirect |
| 226. C3 | #10598172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5126 | 2 |
| #11746374 | 2 |
| C3×#64773 | 2 |
| #10598172 | 3 |
| #67530 | 5 |