Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
560 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 560 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 |
|---|---|---|
| 2. C5×D3×#100 | C2 | semidirect |
| 3. D3×#3966 | C2 | semidirect |
| 4. #11746297 | C2 | semidirect |
| 5. C3×#64695 | C2 | semidirect |
| 6. #11746004 | C2 | semidirect |
| 7. #11745995 | C2 | semidirect |
| 10. C22×#1201 | C4 | semidirect |
| 16. #91563 | C4 | semidirect |
| 18. D3×C22⋊Dic5 | C4 | semidirect |
| 19. #91543 | C4 | semidirect |
| 35. #64695 | D3 | semidirect |
| 38. C23×C3×D5 | C2×C4 | semidirect |
| 40. C22×Dic15 | C2×C4 | semidirect |
| 58. #6719 | C2×C4 | semidirect |
| 64. C3×C22⋊Dic5 | C2×C4 | semidirect |
| 72. D3×#100 | D5 | semidirect |
| 156. C23×D5 | C4×D3 | semidirect |
| 184. C22⋊Dic5 | C4×D3 | semidirect |
| 422. C3×C5 | #2121 | semidirect |
| 505. C5 | #69135 | semidirect |
| 533. C3 | #10600887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754943 | 2 |
| C5×D3×#100 | 2 |
| D3×#3966 | 2 |
| #11746297 | 2 |
| C3×#64695 | 2 |
| #11746004 | 2 |
| #11745995 | 2 |
| #10600887 | 3 |
| #69135 | 5 |