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. C3×D5×#107 | C2 | semidirect |
| 3. C2×#90934 | C2 | semidirect |
| 4. #11746312 | C2 | semidirect |
| 5. C5×#4492 | C2 | semidirect |
| 6. #11745899 | C2 | semidirect |
| 7. #11745895 | C2 | semidirect |
| 16. #91271 | C4 | semidirect |
| 26. D5×#107 | D3 | semidirect |
| 42. D120 | C2×C4 | semidirect |
| 44. C5×Dic12 | C2×C4 | semidirect |
| 57. #4492 | D5 | semidirect |
| 166. Dic12 | C4×D5 | semidirect |
| 264. C3×C5 | #2139 | semidirect |
| 307. C5 | #70598 | semidirect |
| 321. C3 | #10600014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91271 | 2 |
| C3×D5×#107 | 2 |
| C2×#90934 | 2 |
| #11746312 | 2 |
| C5×#4492 | 2 |
| #11745899 | 2 |
| #11745895 | 2 |
| #10600014 | 3 |
| #70598 | 5 |