Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
218 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 218 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 |
|---|---|---|
| 3. #10599310 | C2 | semidirect |
| 5. #10598008 | C2 | semidirect |
| 6. #10598002 | C2 | semidirect |
| 7. #10597955 | C2 | semidirect |
| 71. Dic20 | M16 | semidirect |
| 189. C5 | #12080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10601677 | 2 |
| #10601675 | 2 |
| #10599310 | 2 |
| C5×#1333 | 2 |
| #10598008 | 2 |
| #10598002 | 2 |
| #10597955 | 2 |
| #12080 | 5 |