Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 94 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×#4873 | C2 | semidirect |
| 4. #11746311 | C2 | semidirect |
| 6. #11745900 | C2 | semidirect |
| 7. Dic3×#672 | C2 | semidirect |
| 20. #90940 | C4 | semidirect |
| 40. C5×Dic12 | C2×C4 | semidirect |
| 44. C3⋊#672 | C2×C4 | semidirect |
| 48. #4873 | D5 | semidirect |
| 127. C5×Dic3 | SD32 | semidirect |
| 142. Dic12 | C4×D5 | semidirect |
| 219. C3×C5 | C4×SD32 | semidirect |
| 230. Dic3 | #3960 | semidirect |
| 254. C5 | #69175 | semidirect |
| 266. C3 | C4×#3960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4873 | 2 |
| Dic3×D40 | 2 |
| C2×#90940 | 2 |
| #11746311 | 2 |
| C3×#64711 | 2 |
| #11745900 | 2 |
| Dic3×#672 | 2 |
| C4×#3960 | 3 |
| #69175 | 5 |