Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 80 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×#5152 | C2 | semidirect |
| 3. #11748069 | C2 | semidirect |
| 4. C3×#64783 | C2 | semidirect |
| 5. #11745936 | C2 | semidirect |
| 6. #11745914 | C2 | semidirect |
| 7. #11745877 | C2 | semidirect |
| 13. #91111 | C4 | semidirect |
| 14. #91110 | C4 | semidirect |
| 26. #64783 | D3 | semidirect |
| 36. Dic60 | C2×C4 | semidirect |
| 37. D120 | C2×C4 | semidirect |
| 46. C3⋊#672 | C2×C4 | semidirect |
| 48. #5152 | D5 | semidirect |
| 225. C3×C5 | AGL(1,ℤ/16) | semidirect |
| 259. C5 | #69254 | semidirect |
| 270. C3 | #10601711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751248 | 2 |
| C5×#5152 | 2 |
| #11748069 | 2 |
| C3×#64783 | 2 |
| #11745936 | 2 |
| #11745914 | 2 |
| #11745877 | 2 |
| #10601711 | 3 |
| #69254 | 5 |