Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 3. Dic5×Dic12 | C2 | semidirect |
| 5. #11745944 | C2 | semidirect |
| 6. #11745899 | C2 | semidirect |
| 7. Dic5×C3⋊C16 | C2 | semidirect |
| 15. C5×#827 | C4 | semidirect |
| 37. C5×Dic12 | C2×C4 | semidirect |
| 45. C5×C3⋊C16 | C2×C4 | semidirect |
| 88. #827 | Dic5 | direct (N × H) |
| 126. C3×Dic5 | SD32 | semidirect |
| 142. Dic12 | C2×Dic5 | semidirect |
| 144. C3⋊C16 | C2×Dic5 | semidirect |
| 201. Dic5 | #827 | direct (N × H) |
| 219. C3×C5 | C4×SD32 | semidirect |
| 254. C5 | C4×#827 | semidirect |
| 266. C3 | Dic5×SD32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#827 | 2 |
| C3×D8×Dic5 | 2 |
| Dic5×Dic12 | 2 |
| #11746383 | 2 |
| #11745944 | 2 |
| #11745899 | 2 |
| Dic5×C3⋊C16 | 2 |
| Dic5×SD32 | 3 |
| C4×#827 | 5 |