Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
372 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 78 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. #11751252 | C2 | semidirect |
| 2. C2×C3×#3958 | C2 | semidirect |
| 3. #11747809 | C2 | semidirect |
| 4. C2×#90938 | C2 | semidirect |
| 5. C5×#4562 | C2 | semidirect |
| 6. #11745928 | C2 | semidirect |
| 7. #11745896 | C2 | semidirect |
| 24. C2×#3958 | D3 | semidirect |
| 46. C3×D40 | D4 | semidirect |
| 54. #4562 | D5 | semidirect |
| 120. D40 | #67 | semidirect |
| 143. Dic15 | D16 | semidirect |
| 257. C3×C5 | #2206 | semidirect |
| 304. C5 | #71462 | semidirect |
| 320. C3 | #10599995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751252 | 2 |
| C2×C3×#3958 | 2 |
| #11747809 | 2 |
| C2×#90938 | 2 |
| C5×#4562 | 2 |
| #11745928 | 2 |
| #11745896 | 2 |
| #10599995 | 3 |
| #71462 | 5 |