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. C3×#65162 | C2 | semidirect |
| 5. C5×#4490 | C2 | semidirect |
| 6. #11745897 | C2 | semidirect |
| 7. Dic5×C3⋊C16 | C2 | semidirect |
| 20. #90943 | C4 | semidirect |
| 23. #65162 | D3 | semidirect |
| 42. C3×Dic20 | C2×C4 | semidirect |
| 45. C5×C3⋊C16 | C2×C4 | semidirect |
| 51. #4490 | D5 | semidirect |
| 105. Dic20 | C4×D3 | semidirect |
| 126. C3×Dic5 | SD32 | semidirect |
| 144. C3⋊C16 | C4×D5 | semidirect |
| 201. Dic5 | #828 | semidirect |
| 219. C3×C5 | C4×SD32 | semidirect |
| 254. C5 | C4×#828 | semidirect |
| 266. C3 | #10600130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65162 | 2 |
| #11747766 | 2 |
| C2×#90943 | 2 |
| #11746312 | 2 |
| C5×#4490 | 2 |
| #11745897 | 2 |
| Dic5×C3⋊C16 | 2 |
| #10600130 | 3 |
| C4×#828 | 5 |