Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
328 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 30. Dic60 | C8 | semidirect |
| 62. C3×#168 | Q16 | semidirect |
| 123. #168 | Dic12 | semidirect |
| 170. C3×C5 | C8×Q16 | semidirect |
| 198. C5 | C8×Dic12 | semidirect |
| 207. C3 | #10599350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Dic60 | 2 |
| #11746851 | 2 |
| C5×#4458 | 2 |
| C3×C8×#168 | 2 |
| #11745845 | 2 |
| #10599350 | 3 |
| C8×Dic12 | 5 |