Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
348 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 348 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×#65161 | C2 | semidirect |
| 2. #11747766 | C2 | semidirect |
| 4. #11746312 | C2 | semidirect |
| 5. C5×#4489 | C2 | semidirect |
| 6. #11745891 | C2 | semidirect |
| 7. Dic5×C3⋊C16 | C2 | semidirect |
| 20. #90938 | C4 | semidirect |
| 24. #65161 | D3 | semidirect |
| 36. D120 | C2×C4 | semidirect |
| 42. C3×D40 | C2×C4 | semidirect |
| 45. C5×C3⋊C16 | C2×C4 | semidirect |
| 51. #4489 | D5 | semidirect |
| 108. D40 | C4×D3 | semidirect |
| 129. C3×Dic5 | D16 | semidirect |
| 147. C3⋊C16 | C4×D5 | semidirect |
| 209. Dic5 | #826 | semidirect |
| 227. C3×C5 | C4×D16 | semidirect |
| 267. C5 | C4×#826 | semidirect |
| 281. C3 | #10600110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65161 | 2 |
| #11747766 | 2 |
| C2×#90938 | 2 |
| #11746312 | 2 |
| C5×#4489 | 2 |
| #11745891 | 2 |
| Dic5×C3⋊C16 | 2 |
| #10600110 | 3 |
| C4×#826 | 5 |