Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
552 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 126 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. #11752340 | C2 | semidirect |
| 3. C3×C4×D5⋊C8 | C2 | semidirect |
| 4. #11746489 | C2 | semidirect |
| 24. C4×D5⋊C8 | D3 | semidirect |
| 273. C3×C5 | #1492 | semidirect |
| 321. C5 | #69735 | semidirect |
| 337. C3 | #10604606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752672 | 2 |
| #11752340 | 2 |
| C3×C4×D5⋊C8 | 2 |
| #11746489 | 2 |
| #10604606 | 3 |
| #69735 | 5 |