Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 158 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. #11746750 | C2 | semidirect |
| 4. C3×#64879 | C2 | semidirect |
| 5. C3⋊C8×#170 | C2 | semidirect |
| 22. #64879 | D3 | semidirect |
| 32. C5×D3×C8 | C8 | semidirect |
| 36. D3×#168 | C8 | semidirect |
| 117. D3×C8 | #170 | semidirect |
| 181. C3×C5 | #1450 | semidirect |
| 210. C5 | #68068 | semidirect |
| 219. C3 | #10604687 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751793 | 2 |
| D3×C8×Dic5 | 2 |
| #11746750 | 2 |
| C3×#64879 | 2 |
| C3⋊C8×#170 | 2 |
| #10604687 | 3 |
| #68068 | 5 |