Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
184 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 67 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. #10599860 | C2 | semidirect |
| 3. C5×#1397 | C2 | semidirect |
| 4. #10598089 | C2 | semidirect |
| 5. #10598084 | C2 | semidirect |
| 13. Dic80 | C4 | semidirect |
| 14. #64669 | C4 | semidirect |
| 15. D160 | C4 | semidirect |
| 34. #1397 | D5 | semidirect |
| 113. C5 | #13656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10600162 | 2 |
| #10599860 | 2 |
| C5×#1397 | 2 |
| #10598089 | 2 |
| #10598084 | 2 |
| #13656 | 5 |