Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 88 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. C2×C5×#912 | C2 | semidirect |
| 2. C2×C3×#3958 | C2 | semidirect |
| 3. #11747915 | C2 | semidirect |
| 4. C2×#90940 | C2 | semidirect |
| 5. #11746383 | C2 | semidirect |
| 6. #11745900 | C2 | semidirect |
| 7. (C2×D3)⋊#672 | C2 | semidirect |
| 27. C2×#3958 | D3 | semidirect |
| 42. C3×C5×D8 | D4 | semidirect |
| 48. C5×Dic12 | D4 | semidirect |
| 56. C2×#912 | D5 | semidirect |
| 128. C5×D8 | #67 | semidirect |
| 173. C3×D8 | C22⋊D5 | semidirect |
| 180. Dic12 | C22⋊D5 | semidirect |
| 278. D8 | #1201 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #71468 | semidirect |
| 352. C3 | #10602875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#912 | 2 |
| C2×C3×#3958 | 2 |
| #11747915 | 2 |
| C2×#90940 | 2 |
| #11746383 | 2 |
| #11745900 | 2 |
| (C2×D3)⋊#672 | 2 |
| #10602875 | 3 |
| #71468 | 5 |