Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1848 conjugacy classes of subgroups; only the 396 normal subgroups are shown.
This group has 1848 conjugacy classes of subgroups — too many to draw. Only its 396 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. C2×#91418 | C2 | semidirect |
| 3. C5×#4935 | C2 | semidirect |
| 4. C3×C42×Dic5 | C2 | semidirect |
| 5. #11748768 | C2 | semidirect |
| 10. #91763 | C4 | semidirect |
| 21. C42×Dic5 | D3 | semidirect |
| 26. C2×D60 | C2×C4 | semidirect |
| 31. C3×C42×C5 | C2×C4 | semidirect |
| 34. C3×C4×Dic5 | D4 | semidirect |
| 40. #4935 | D5 | semidirect |
| 83. C42×C5 | C4×D3 | semidirect |
| 86. C4×Dic5 | D12 | semidirect |
| 98. C3×C4×C5 | C4×D4 | semidirect |
| 100. C3×Dic5 | #127 | semidirect |
| 113. C3×C42 | C4×D5 | semidirect |
| 162. C4×C5 | C4×D12 | semidirect |
| 164. Dic5 | #874 | semidirect |
| 178. C42 | #1200 | semidirect |
| 179. C3×C5 | C4×#127 | semidirect |
| 188. C3×C4 | #4039 | semidirect |
| 211. C5 | C4×#874 | semidirect |
| 221. C4 | #91418 | 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×#91763 | 2 |
| C2×#91418 | 2 |
| C5×#4935 | 2 |
| C3×C42×Dic5 | 2 |
| #11748768 | 2 |
| #10606050 | 3 |
| C4×#874 | 5 |