Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 112 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. #10604739 | C2 | semidirect |
| 3. #10604738 | C2 | semidirect |
| 6. #10598787 | C2 | semidirect |
| 7. #10598787 | C2 | semidirect |
| 63. #3955 | C8 | semidirect |
| 104. C5×M16 | C2×C8 | semidirect |
| 118. #681 | C2×C8 | semidirect |
| 260. M16 | D5⋊C8 | semidirect |
| 328. C5 | #8835 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617089 | 2 |
| #10604739 | 2 |
| #10604738 | 2 |
| #10604328 | 2 |
| #10599765 | 2 |
| #10598787 | 2 |
| #8835 | 5 |