Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
824 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 824 conjugacy classes of subgroups — too many to draw. Only its 130 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. #11752335 | C2 | semidirect |
| 3. C3×#65689 | C2 | semidirect |
| 4. C2×#91151 | C2 | semidirect |
| 10. #91763 | C4 | semidirect |
| 11. C5×#874 | C4 | semidirect |
| 14. #91451 | C4 | semidirect |
| 21. #65689 | D3 | semidirect |
| 38. D5⋊(C3⋊C8) | D4 | semidirect |
| 90. #874 | AGL(1,𝔽5) | semidirect |
| 250. C3×C5 | #1961 | semidirect |
| 300. C5 | #69553 | semidirect |
| 316. C3 | #10604617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#874 | 2 |
| #11752335 | 2 |
| C3×#65689 | 2 |
| C2×#91151 | 2 |
| #10604617 | 3 |
| #69553 | 5 |