Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
438 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10611010 | C2 | semidirect |
| 3. C5×#1469 | C2 | semidirect |
| 4. C2×#64760 | C2 | semidirect |
| 5. #10601600 | C2 | semidirect |
| 6. #10598242 | C2 | semidirect |
| 7. #10598232 | C2 | semidirect |
| 93. #1469 | D5 | semidirect |
| 394. C5 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614677 | 2 |
| #10611010 | 2 |
| C5×#1469 | 2 |
| C2×#64760 | 2 |
| #10601600 | 2 |
| #10598242 | 2 |
| #10598232 | 2 |
| #9265 | 5 |