Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
572 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 86 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. C5×D3×#99 | C2 | semidirect |
| 3. D3×#3966 | C2 | semidirect |
| 4. #11746295 | C2 | semidirect |
| 5. C3×#64693 | C2 | semidirect |
| 6. #11746009 | C2 | semidirect |
| 7. #11746008 | C2 | semidirect |
| 10. C2×#6769 | C4 | semidirect |
| 19. #91451 | C4 | semidirect |
| 20. #91371 | C4 | semidirect |
| 21. #91370 | C4 | semidirect |
| 35. #64693 | D3 | semidirect |
| 41. C2×D60 | C2×C4 | semidirect |
| 49. C2×C3×Dic10 | C2×C4 | semidirect |
| 59. C4×Dic15 | C2×C4 | semidirect |
| 65. C3×C4×Dic5 | C2×C4 | semidirect |
| 73. D3×#99 | D5 | semidirect |
| 175. C2×Dic10 | C4×D3 | semidirect |
| 189. C4×Dic5 | C4×D3 | semidirect |
| 427. C3×C5 | #2127 | semidirect |
| 512. C5 | #69157 | semidirect |
| 541. C3 | #10600812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754950 | 2 |
| C5×D3×#99 | 2 |
| D3×#3966 | 2 |
| #11746295 | 2 |
| C3×#64693 | 2 |
| #11746009 | 2 |
| #11746008 | 2 |
| #10600812 | 3 |
| #69157 | 5 |