Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
244 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 70 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. #11746761 | C2 | semidirect |
| 3. C3×#64890 | C2 | semidirect |
| 4. #11746565 | C2 | semidirect |
| 20. #64890 | D3 | semidirect |
| 164. C3×C5 | #2166 | semidirect |
| 190. C5 | #69089 | semidirect |
| 199. C3 | #10603875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11747668 | 2 |
| #11746761 | 2 |
| C3×#64890 | 2 |
| #11746565 | 2 |
| #11746549 | 2 |
| #10603875 | 3 |
| #69089 | 5 |