Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 288 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. C5×#4895 | C2 | semidirect |
| 2. #11748066 | C2 | semidirect |
| 4. #11746314 | C2 | semidirect |
| 5. C3×#64717 | C2 | semidirect |
| 6. #11745906 | C2 | semidirect |
| 7. #11745874 | C2 | semidirect |
| 20. #90946 | C4 | semidirect |
| 21. #90941 | C4 | semidirect |
| 22. #90940 | C4 | semidirect |
| 23. #90937 | C4 | semidirect |
| 29. #64717 | D3 | semidirect |
| 54. #4895 | D5 | semidirect |
| 240. C3×C5 | #2179 | semidirect |
| 273. C5 | #69239 | semidirect |
| 282. C3 | #10601715 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4895 | 2 |
| #11748066 | 2 |
| #11747538 | 2 |
| #11746314 | 2 |
| C3×#64717 | 2 |
| #11745906 | 2 |
| #11745874 | 2 |
| #10601715 | 3 |
| #69239 | 5 |