Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11752418 | C2 | semidirect |
| 3. C4×#6762 | C2 | semidirect |
| 4. #11746798 | C2 | semidirect |
| 17. #91231 | C22 | semidirect |
| 18. #91231 | C22 | semidirect |
| 269. C3×C5 | #1527 | semidirect |
| 317. C5 | #71718 | semidirect |
| 333. C3 | #10604960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#4093 | 2 |
| #11752418 | 2 |
| C4×#6762 | 2 |
| #11746798 | 2 |
| #10604960 | 3 |
| #71718 | 5 |