Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1848 conjugacy classes of subgroups; only the 379 normal subgroups are shown.
This group has 1848 conjugacy classes of subgroups — too many to draw. Only its 379 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. C2×#91782 | C2 | semidirect |
| 3. C3×C5×#384 | C2 | semidirect |
| 4. #11751089 | C2 | semidirect |
| 5. C42×Dic15 | C2 | semidirect |
| 15. #91763 | C4 | semidirect |
| 19. C5×#384 | D3 | semidirect |
| 29. C2×D60 | C2×C4 | semidirect |
| 32. C3×C42×C5 | C2×C4 | semidirect |
| 35. C4×Dic15 | D4 | semidirect |
| 38. C3×#384 | D5 | semidirect |
| 83. C42×C5 | C4×D3 | semidirect |
| 90. #384 | D15 | semidirect |
| 99. C3×C4×C5 | C4×D4 | semidirect |
| 101. Dic15 | #127 | semidirect |
| 112. C3×C42 | C4×D5 | semidirect |
| 162. C4×C5 | #893 | semidirect |
| 178. C42 | C4×D15 | semidirect |
| 179. C3×C5 | C4×#127 | semidirect |
| 187. C3×C4 | #4039 | semidirect |
| 211. C5 | #74319 | semidirect |
| 221. C4 | #91782 | semidirect |
| 222. C3 | #10606050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91782 | 2 |
| C2×#91763 | 2 |
| C3×C5×#384 | 2 |
| #11751089 | 2 |
| C42×Dic15 | 2 |
| #10606050 | 3 |
| #74319 | 5 |