Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
284 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 1. #11750817 | C2 | semidirect |
| 4. C3×#64686 | C2 | semidirect |
| 5. #11745934 | C2 | semidirect |
| 6. #11745926 | C2 | semidirect |
| 20. #90948 | C4 | semidirect |
| 21. #90944 | C4 | semidirect |
| 29. #64686 | D3 | semidirect |
| 217. C3×C5 | #2180 | semidirect |
| 246. C5 | #69090 | semidirect |
| 255. C3 | #10601721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750817 | 2 |
| C5×#4717 | 2 |
| #11747563 | 2 |
| C3×#64686 | 2 |
| #11745934 | 2 |
| #11745926 | 2 |
| #11745912 | 2 |
| #10601721 | 3 |
| #69090 | 5 |