Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
480 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10605122 | C2 | semidirect |
| 4. #10601573 | C2 | semidirect |
| 6. C5×#1274 | C2 | semidirect |
| 7. #10598229 | C2 | semidirect |
| 21. #64983 | C4 | semidirect |
| 22. #64969 | C4 | semidirect |
| 74. #1274 | 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 |
|---|---|
| #10611000 | 2 |
| #10605122 | 2 |
| #10601583 | 2 |
| #10601573 | 2 |
| #10600233 | 2 |
| C5×#1274 | 2 |
| #10598229 | 2 |
| #9302 | 5 |