Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
504 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 8. #91759 | C4 | semidirect |
| 9. C5×#870 | C4 | semidirect |
| 13. #91388 | C4 | semidirect |
| 78. #870 | AGL(1,𝔽5) | semidirect |
| 204. C3×C5 | #1991 | semidirect |
| 238. C5 | #69778 | semidirect |
| 250. C3 | #10604590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#870 | 2 |
| #11752348 | 2 |
| C3×C4×D5⋊C8 | 2 |
| #11746530 | 2 |
| #10604590 | 3 |
| #69778 | 5 |