Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 111 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. C3×C5×#413 | C2 | semidirect |
| 3. #11751338 | C2 | semidirect |
| 4. #11746298 | C2 | semidirect |
| 17. C3×C5×#101 | C22 | semidirect |
| 19. #91120 | C22 | semidirect |
| 23. C5×#413 | D3 | semidirect |
| 54. C3×#413 | D5 | semidirect |
| 68. C5×#101 | C2×D3 | semidirect |
| 112. C3×#101 | C2×D5 | semidirect |
| 145. #413 | D15 | semidirect |
| 231. #101 | C2×D15 | 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 |
| C3×C5×#413 | 2 |
| #11751338 | 2 |
| #11746298 | 2 |
| #10600942 | 3 |
| #70149 | 5 |