Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 4. #11746507 | C2 | semidirect |
| 5. #11746506 | C2 | semidirect |
| 282. C3×C5 | #1528 | semidirect |
| 323. C5 | #70812 | semidirect |
| 338. C3 | #10604578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#870 | 2 |
| C4×#6758 | 2 |
| C3×#65684 | 2 |
| #11746507 | 2 |
| #11746506 | 2 |
| #10604578 | 3 |
| #70812 | 5 |