Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 542 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 |
|---|---|---|
| 2. #10611017 | C2 | semidirect |
| 3. C5×#1480 | C2 | semidirect |
| 4. #10602607 | C2 | semidirect |
| 5. #10601273 | C2 | semidirect |
| 6. #10598229 | C2 | semidirect |
| 7. #10598198 | C2 | semidirect |
| 15. #65372 | C4 | semidirect |
| 16. #65361 | C4 | semidirect |
| 73. #1480 | D5 | semidirect |
| 357. C5 | #9305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615028 | 2 |
| #10611017 | 2 |
| C5×#1480 | 2 |
| #10602607 | 2 |
| #10601273 | 2 |
| #10598229 | 2 |
| #10598198 | 2 |
| #9305 | 5 |