Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
306 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 17. #65147 | C4 | semidirect |
| 19. #65144 | C4 | semidirect |
| 38. C2×C5×C16 | Q8 | semidirect |
| 51. #3944 | Q8 | semidirect |
| 146. C2×C16 | Dic10 | semidirect |
| 229. C5 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610841 | 2 |
| #10602218 | 2 |
| #10601491 | 2 |
| C5×#1383 | 2 |
| #10598309 | 2 |
| #10598226 | 2 |
| #10598212 | 2 |
| #13291 | 5 |