Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
238 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 152 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. #10598653 | C2 | semidirect |
| 5. #10598652 | C2 | semidirect |
| 9. #64877 | C4 | semidirect |
| 10. C2×#3928 | C4 | semidirect |
| 118. C5 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64877 | 2 |
| C22×#3928 | 2 |
| #10602212 | 2 |
| #10598653 | 2 |
| #10598652 | 2 |
| #13549 | 5 |