Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
312 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10602212 | C2 | semidirect |
| 3. #10601499 | C2 | semidirect |
| 6. C5×#1389 | C2 | semidirect |
| 7. #10598215 | C2 | semidirect |
| 19. #64737 | C4 | semidirect |
| 20. #64736 | C4 | semidirect |
| 63. #1389 | D5 | semidirect |
| 262. C5 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602235 | 2 |
| #10602212 | 2 |
| #10601499 | 2 |
| C2×#64717 | 2 |
| #10601451 | 2 |
| C5×#1389 | 2 |
| #10598215 | 2 |
| #13146 | 5 |