Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
460 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 80 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×#91277 | C2 | semidirect |
| 2. C2×C5×#800 | C2 | semidirect |
| 3. #11747933 | C2 | semidirect |
| 4. C2×#90937 | C2 | semidirect |
| 5. #11746328 | C2 | semidirect |
| 6. C3×#64729 | C2 | semidirect |
| 7. #11745899 | C2 | semidirect |
| 30. #64729 | D3 | semidirect |
| 46. C5×Dic12 | D4 | semidirect |
| 51. C3×D40 | D4 | semidirect |
| 58. C2×#800 | D5 | semidirect |
| 134. D40 | D12 | semidirect |
| 178. Dic12 | C22⋊D5 | semidirect |
| 287. C3×C5 | #2186 | semidirect |
| 336. C5 | #69192 | semidirect |
| 352. C3 | #10602277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91277 | 2 |
| C2×C5×#800 | 2 |
| #11747933 | 2 |
| C2×#90937 | 2 |
| #11746328 | 2 |
| C3×#64729 | 2 |
| #11745899 | 2 |
| #10602277 | 3 |
| #69192 | 5 |