Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
314 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 4. #10602220 | C2 | semidirect |
| 5. #10601496 | C2 | semidirect |
| 6. #10598303 | C2 | semidirect |
| 7. #10598222 | C2 | semidirect |
| 18. C5×#362 | C4 | semidirect |
| 19. C5×#361 | C4 | semidirect |
| 112. #362 | Dic5 | semidirect |
| 113. #361 | Dic5 | semidirect |
| 258. C5 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2148 | 2 |
| #10602878 | 2 |
| #10602869 | 2 |
| #10602220 | 2 |
| #10601496 | 2 |
| #10598303 | 2 |
| #10598222 | 2 |
| #13140 | 5 |