Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
480 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. #10614959 | C2 | semidirect |
| 3. C5×#1549 | C2 | semidirect |
| 6. #10598228 | C2 | semidirect |
| 7. #10598204 | C2 | semidirect |
| 15. #65377 | C4 | semidirect |
| 17. #65368 | C4 | semidirect |
| 71. #1549 | D5 | semidirect |
| 335. C5 | #9302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614959 | 2 |
| #10614947 | 2 |
| C5×#1549 | 2 |
| #10601583 | 2 |
| #10601306 | 2 |
| #10598228 | 2 |
| #10598204 | 2 |
| #9302 | 5 |