Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
532 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 108 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×#5237 | C2 | semidirect |
| 3. C3×#65529 | C2 | semidirect |
| 4. #11745998 | C2 | semidirect |
| 7. C22×D60 | C4 | semidirect |
| 10. #91826 | C4 | semidirect |
| 14. #91815 | C4 | semidirect |
| 24. #65529 | D3 | semidirect |
| 55. #5237 | D5 | semidirect |
| 314. C3×C5 | #2122 | semidirect |
| 373. C5 | #70057 | semidirect |
| 392. C3 | #10600939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756589 | 2 |
| C5×#5237 | 2 |
| C3×#65529 | 2 |
| #11745998 | 2 |
| #10600939 | 3 |
| #70057 | 5 |