Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
474 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. C2×#65473 | C2 | semidirect |
| 3. C2×C5×#362 | C2 | semidirect |
| 6. #10598302 | C2 | semidirect |
| 7. #10598221 | C2 | semidirect |
| 16. C2×#3961 | C4 | semidirect |
| 19. C2×#3960 | C4 | semidirect |
| 71. C2×#362 | D5 | semidirect |
| 319. C5 | #13038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65473 | 2 |
| C2×#65468 | 2 |
| C2×C5×#362 | 2 |
| C2×#64738 | 2 |
| #10601490 | 2 |
| #10598302 | 2 |
| #10598221 | 2 |
| #13038 | 5 |