Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 78 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. #11747854 | C2 | semidirect |
| 4. #11746338 | C2 | semidirect |
| 6. C3×#64732 | C2 | semidirect |
| 7. #11745933 | C2 | semidirect |
| 20. #90948 | C4 | semidirect |
| 21. #90944 | C4 | semidirect |
| 28. #64732 | D3 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #69090 | semidirect |
| 255. C3 | #10600041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11748063 | 2 |
| #11747854 | 2 |
| #11747563 | 2 |
| #11746338 | 2 |
| C5×#4518 | 2 |
| C3×#64732 | 2 |
| #11745933 | 2 |
| #10600041 | 3 |
| #69090 | 5 |