Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
668 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 131 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. #66153⋊C3 | C2 | semidirect |
| 3. C2×#4094⋊C3 | C2 | semidirect |
| 4. #10619197 | C3 | semidirect |
| 9. #4094⋊C3 | C22 | semidirect |
| 10. #4094⋊C3 | C22 | semidirect |
| 15. #66153 | C2×C3 | semidirect |
| 18. C2×#4094 | C2×C3 | semidirect |
| 240. C5 | #85629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5945 | 2 |
| #66153⋊C3 | 2 |
| C2×#4094⋊C3 | 2 |
| #10619197 | 3 |
| C3×#4094 | 4 |
| #85629 | 5 |