Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
824 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 824 conjugacy classes of subgroups — too many to draw. Only its 134 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. #11752348 | C2 | semidirect |
| 3. C3×#65676 | C2 | semidirect |
| 4. C2×#91152 | C2 | semidirect |
| 10. #91763 | C4 | semidirect |
| 11. C5×#874 | C4 | semidirect |
| 14. #91451 | C4 | semidirect |
| 22. #65676 | D3 | semidirect |
| 39. C3×D5⋊C8 | D4 | semidirect |
| 90. #874 | AGL(1,𝔽5) | semidirect |
| 110. D5⋊C8 | D12 | semidirect |
| 250. C3×C5 | #1961 | semidirect |
| 300. C5 | #69823 | 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 |
| #11752348 | 2 |
| C3×#65676 | 2 |
| C2×#91152 | 2 |
| #10604617 | 3 |
| #69823 | 5 |