Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
352 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 106 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. Dic6×#170 | C2 | semidirect |
| 4. #11746753 | C2 | semidirect |
| 5. C3×#64879 | C2 | semidirect |
| 6. #11746493 | C2 | semidirect |
| 31. #64879 | D3 | semidirect |
| 44. C5×#204 | C8 | semidirect |
| 81. C5×Dic6 | C2×C8 | semidirect |
| 91. C3×C5×C8 | C2×C8 | semidirect |
| 161. #204 | #170 | semidirect |
| 181. C5×C8 | D3×C8 | semidirect |
| 214. Dic6 | C2×#170 | semidirect |
| 219. C3×C8 | C2×#170 | semidirect |
| 252. C3×C5 | SD16⋊C8 | semidirect |
| 288. C8 | D3×#170 | semidirect |
| 293. C5 | #68076 | semidirect |
| 306. C3 | SD16⋊#170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D12×#170 | 2 |
| Dic6×#170 | 2 |
| Dic5×#204 | 2 |
| #11746753 | 2 |
| C3×#64879 | 2 |
| #11746493 | 2 |
| #11746489 | 2 |
| SD16⋊#170 | 3 |
| #68076 | 5 |