Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
668 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 107 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×#131⋊C3 | C2 | semidirect |
| 3. #66153⋊C3 | C2 | semidirect |
| 4. #66084⋊C3 | C2 | semidirect |
| 5. D5×#131⋊C3 | C2 | semidirect |
| 6. #10619061 | C3 | semidirect |
| 13. C5×#131⋊C3 | C22 | semidirect |
| 14. C5×#131⋊C3 | C22 | semidirect |
| 15. #4094⋊C3 | C22 | semidirect |
| 18. C2×C5×#131 | C2×C3 | semidirect |
| 19. #66153 | C2×C3 | semidirect |
| 21. #66084 | C2×C3 | semidirect |
| 23. D5×#131 | C2×C3 | semidirect |
| 42. C2×#131⋊C3 | D5 | semidirect |
| 100. #131⋊C3 | C2×D5 | semidirect |
| 101. #131⋊C3 | C2×D5 | semidirect |
| 171. C2×#131 | C3×D5 | semidirect |
| 407. C5 | #85629 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #66283⋊C3 | 2 |
| C2×C5×#131⋊C3 | 2 |
| #66153⋊C3 | 2 |
| #66084⋊C3 | 2 |
| D5×#131⋊C3 | 2 |
| #10619061 | 3 |
| C3×#4047 | 4 |
| #85629 | 5 |