Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
476 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 143 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. #11751027 | C2 | semidirect |
| 3. #11746361 | C2 | semidirect |
| 181. C3×C5 | #1536 | semidirect |
| 215. C5 | #71799 | semidirect |
| 226. C3 | #10602592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#532 | 2 |
| #11751027 | 2 |
| #11746361 | 2 |
| #10602592 | 3 |
| #71799 | 5 |