Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1408 conjugacy classes of subgroups; only the 294 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 294 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. #11756989 | C2 | semidirect |
| 3. C3×#66260 | C2 | semidirect |
| 4. D5⋊#824 | C2 | semidirect |
| 5. #11751818 | C2 | semidirect |
| 25. #66260 | D3 | semidirect |
| 297. C3×C5 | #2889 | semidirect |
| 344. C5 | #83815 | semidirect |
| 357. C3 | #10617525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92028 | 2 |
| #11756989 | 2 |
| C3×#66260 | 2 |
| D5⋊#824 | 2 |
| #11751818 | 2 |
| #10617525 | 3 |
| #83815 | 5 |