Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 84 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×#5183 | C2 | semidirect |
| 5. #11746385 | C2 | semidirect |
| 6. Dic3⋊#672 | C2 | semidirect |
| 7. #11745900 | C2 | semidirect |
| 51. #5183 | D5 | semidirect |
| 138. C5×Dic3 | SD32 | semidirect |
| 241. C3×C5 | #2208 | semidirect |
| 252. Dic3 | #3960 | semidirect |
| 278. C5 | #71476 | semidirect |
| 290. C3 | #10602108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5183 | 2 |
| C2×C3×#3960 | 2 |
| Dic3×D40 | 2 |
| C2×#90940 | 2 |
| #11746385 | 2 |
| Dic3⋊#672 | 2 |
| #11745900 | 2 |
| #10602108 | 3 |
| #71476 | 5 |