Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 93 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. #11750974 | C2 | semidirect |
| 4. C3×C5×#367 | C2 | semidirect |
| 5. C16×Dic15 | C2 | semidirect |
| 6. #11746313 | C2 | semidirect |
| 20. #91084 | C4 | semidirect |
| 25. C5×#367 | D3 | semidirect |
| 41. Dic60 | C2×C4 | semidirect |
| 44. C3×C5×C16 | C2×C4 | semidirect |
| 49. C3×#367 | D5 | semidirect |
| 108. C5×C16 | C4×D3 | semidirect |
| 113. #367 | D15 | semidirect |
| 127. Dic15 | SD32 | semidirect |
| 143. C3×C16 | C4×D5 | semidirect |
| 218. C16 | C4×D15 | semidirect |
| 219. C3×C5 | C4×SD32 | semidirect |
| 254. C5 | #69337 | semidirect |
| 266. C3 | #10600130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91084 | 2 |
| #11750974 | 2 |
| #11750973 | 2 |
| C3×C5×#367 | 2 |
| C16×Dic15 | 2 |
| #11746313 | 2 |
| #11746312 | 2 |
| #10600130 | 3 |
| #69337 | 5 |