Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
644 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 644 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. C2×#91241 | C2 | semidirect |
| 3. C3×#65798 | C2 | semidirect |
| 4. #11746567 | C2 | semidirect |
| 5. #11746566 | C2 | semidirect |
| 26. #65798 | D3 | semidirect |
| 382. C3×C5 | #1471 | semidirect |
| 460. C5 | #69970 | semidirect |
| 486. C3 | #10604938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91566 | 2 |
| C2×#91241 | 2 |
| C3×#65798 | 2 |
| #11746567 | 2 |
| #11746566 | 2 |
| #10604938 | 3 |
| #69970 | 5 |