Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 76 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. #11748037 | C2 | semidirect |
| 3. C5×#4490 | C2 | semidirect |
| 4. C3×#64710 | C2 | semidirect |
| 5. #11745928 | C2 | semidirect |
| 27. #64710 | D3 | semidirect |
| 37. D120 | Q8 | semidirect |
| 49. #4490 | D5 | semidirect |
| 204. C3×C5 | #2226 | semidirect |
| 238. C5 | #69353 | semidirect |
| 250. C3 | #10600146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750973 | 2 |
| #11748037 | 2 |
| C5×#4490 | 2 |
| C3×#64710 | 2 |
| #11745928 | 2 |
| #11745896 | 2 |
| #11745895 | 2 |
| #10600146 | 3 |
| #69353 | 5 |