Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
644 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 93 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. C5×#1787 | C2 | semidirect |
| 4. #10602926 | C2 | semidirect |
| 6. #10598170 | C2 | semidirect |
| 7. #10598117 | C2 | semidirect |
| 16. #65517 | C4 | semidirect |
| 18. #65516 | C4 | semidirect |
| 91. #1787 | D5 | semidirect |
| 466. C5 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615790 | 2 |
| #10610335 | 2 |
| C5×#1787 | 2 |
| #10602926 | 2 |
| #10600301 | 2 |
| #10598170 | 2 |
| #10598117 | 2 |
| #9519 | 5 |