Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
464 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 114 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. C2×C5×#798 | C2 | semidirect |
| 3. D3×#3950 | C2 | semidirect |
| 4. #11746324 | C2 | semidirect |
| 5. C3×#64729 | C2 | semidirect |
| 6. #11745901 | C2 | semidirect |
| 7. #11745892 | C2 | semidirect |
| 16. #91273 | C4 | semidirect |
| 28. #64729 | D3 | semidirect |
| 42. Dic60 | C2×C4 | semidirect |
| 48. C3×D40 | C2×C4 | semidirect |
| 54. C2×#798 | D5 | semidirect |
| 126. D40 | C4×D3 | semidirect |
| 264. C3×C5 | #2139 | semidirect |
| 307. C5 | #69189 | semidirect |
| 321. C3 | #10602232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91273 | 2 |
| C2×C5×#798 | 2 |
| D3×#3950 | 2 |
| #11746324 | 2 |
| C3×#64729 | 2 |
| #11745901 | 2 |
| #11745892 | 2 |
| #10602232 | 3 |
| #69189 | 5 |