Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 1. C5×#4849 | C2 | semidirect |
| 4. #11746857 | C2 | semidirect |
| 5. #11746300 | C2 | semidirect |
| 7. #11745857 | C2 | semidirect |
| 52. #4849 | D5 | semidirect |
| 255. C3×C5 | #1682 | semidirect |
| 297. C5 | #68411 | semidirect |
| 310. C3 | #10601848 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4849 | 2 |
| #11747068 | 2 |
| #11746895 | 2 |
| #11746857 | 2 |
| #11746300 | 2 |
| C3×#64705 | 2 |
| #11745857 | 2 |
| #10601848 | 3 |
| #68411 | 5 |