Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
716 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 4. #10600756 | C2 | semidirect |
| 5. #10598167 | C2 | semidirect |
| 18. #65268 | C4 | semidirect |
| 19. #65236 | C4 | semidirect |
| 334. C5 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2973 | 2 |
| #10614080 | 2 |
| #10602412 | 2 |
| #10600756 | 2 |
| #10598167 | 2 |
| #9471 | 5 |