Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
464 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 91 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. #10614652 | C2 | semidirect |
| 3. C5×#1516 | C2 | semidirect |
| 4. #10600714 | C2 | semidirect |
| 5. #10600324 | C2 | semidirect |
| 6. #10598170 | C2 | semidirect |
| 7. #10598120 | C2 | semidirect |
| 18. #65335 | C4 | semidirect |
| 19. #65332 | C4 | semidirect |
| 21. #65325 | C4 | semidirect |
| 22. #65322 | C4 | semidirect |
| 91. #1516 | D5 | semidirect |
| 415. C5 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614662 | 2 |
| #10614652 | 2 |
| C5×#1516 | 2 |
| #10600714 | 2 |
| #10600324 | 2 |
| #10598170 | 2 |
| #10598120 | 2 |
| #9332 | 5 |