Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
380 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 112 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. C3×#64969 | C2 | semidirect |
| 3. #11746924 | C2 | semidirect |
| 5. C8×C3⋊#168 | C2 | semidirect |
| 20. #64969 | D3 | semidirect |
| 154. C3×C5 | #1708 | semidirect |
| 179. C5 | #71334 | semidirect |
| 187. C3 | #10602049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4693 | 2 |
| C3×#64969 | 2 |
| #11746924 | 2 |
| #11746901 | 2 |
| C8×C3⋊#168 | 2 |
| #10602049 | 3 |
| #71334 | 5 |