Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
518 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 111 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. #10614035 | C2 | semidirect |
| 3. C5×#1804 | C2 | semidirect |
| 4. #10601219 | C2 | semidirect |
| 5. #10600338 | C2 | semidirect |
| 6. #10598198 | C2 | semidirect |
| 7. #10598122 | C2 | semidirect |
| 15. #65308 | C4 | semidirect |
| 17. #65304 | C4 | semidirect |
| 71. #1804 | D5 | semidirect |
| 357. C5 | #9309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614038 | 2 |
| #10614035 | 2 |
| C5×#1804 | 2 |
| #10601219 | 2 |
| #10600338 | 2 |
| #10598198 | 2 |
| #10598122 | 2 |
| #9309 | 5 |