Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
508 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 508 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 |
|---|---|---|
| 2. #10602762 | C2 | semidirect |
| 3. #10602756 | C2 | semidirect |
| 4. #10598265 | C2 | semidirect |
| 5. C22×C5×D8 | C4 | semidirect |
| 11. C5×#466 | C4 | semidirect |
| 13. C2×C5×#107 | C4 | semidirect |
| 17. #64771 | C22 | semidirect |
| 19. C22⋊#672 | C22 | semidirect |
| 95. C22×D8 | Dic5 | semidirect |
| 102. #466 | Dic5 | semidirect |
| 104. C2×#107 | Dic5 | semidirect |
| 283. C5 | #11705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#466 | 2 |
| #10602762 | 2 |
| #10602756 | 2 |
| #10598265 | 2 |
| #11705 | 5 |