Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
468 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 109 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. C4×#6762 | C2 | semidirect |
| 3. C2×#91231 | C2 | semidirect |
| 4. #11746792 | C2 | semidirect |
| 5. #11746741 | C2 | semidirect |
| 297. C3×C5 | #1524 | semidirect |
| 344. C5 | #71746 | semidirect |
| 361. C3 | #10604473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65934 | 2 |
| C4×#6762 | 2 |
| C2×#91231 | 2 |
| #11746792 | 2 |
| #11746741 | 2 |
| #10604473 | 3 |
| #71746 | 5 |