Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 524 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×#65526 | C2 | semidirect |
| 4. #11746014 | C2 | semidirect |
| 17. C5×#836 | C22 | semidirect |
| 19. C3×#3968 | C22 | semidirect |
| 24. #65526 | D3 | semidirect |
| 55. #5237 | D5 | semidirect |
| 70. #3968 | C2×D3 | semidirect |
| 114. #836 | C2×D5 | semidirect |
| 312. C3×C5 | #2134 | semidirect |
| 370. C5 | #70149 | semidirect |
| 388. C3 | #10600942 | 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×#65526 | 2 |
| #11746014 | 2 |
| #10600942 | 3 |
| #70149 | 5 |