Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
632 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 3. #11746790 | C2 | semidirect |
| 4. C3×#64919 | C2 | semidirect |
| 5. #11746574 | C2 | semidirect |
| 25. #64919 | D3 | semidirect |
| 331. C3×C5 | #1821 | semidirect |
| 398. C5 | #68990 | semidirect |
| 419. C3 | #10604908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×#683 | 2 |
| #11752000 | 2 |
| #11746790 | 2 |
| C3×#64919 | 2 |
| #11746574 | 2 |
| #10604908 | 3 |
| #68990 | 5 |