Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 105 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. #11752342 | C2 | semidirect |
| 3. C4×#6758 | C2 | semidirect |
| 4. #11746798 | C2 | semidirect |
| 5. #11746741 | C2 | semidirect |
| 293. C3×C5 | #1529 | semidirect |
| 340. C5 | #71747 | semidirect |
| 357. C3 | #10604432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65914 | 2 |
| #11752342 | 2 |
| C4×#6758 | 2 |
| #11746798 | 2 |
| #11746741 | 2 |
| #10604432 | 3 |
| #71747 | 5 |