Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 80 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×#91277 | C2 | semidirect |
| 2. #11750984 | C2 | semidirect |
| 3. C2×#90945 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. C5×#4492 | C2 | semidirect |
| 6. C3×#64711 | C2 | semidirect |
| 7. #11745881 | C2 | semidirect |
| 31. #64711 | D3 | semidirect |
| 50. C5×Dic12 | D4 | semidirect |
| 52. C3×D40 | D4 | semidirect |
| 62. #4492 | D5 | semidirect |
| 134. D40 | D12 | semidirect |
| 178. Dic12 | D20 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69192 | semidirect |
| 352. C3 | #10600017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91277 | 2 |
| #11750984 | 2 |
| C2×#90945 | 2 |
| C2×#90938 | 2 |
| C5×#4492 | 2 |
| C3×#64711 | 2 |
| #11745881 | 2 |
| #10600017 | 3 |
| #69192 | 5 |