Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
556 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 97 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. #10611020 | C2 | semidirect |
| 3. C5×#1545 | C2 | semidirect |
| 4. #10602552 | C2 | semidirect |
| 5. #10601298 | C2 | semidirect |
| 6. #10598234 | C2 | semidirect |
| 7. #10598201 | C2 | semidirect |
| 76. #1545 | D5 | semidirect |
| 351. C5 | #9437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614894 | 2 |
| #10611020 | 2 |
| C5×#1545 | 2 |
| #10602552 | 2 |
| #10601298 | 2 |
| #10598234 | 2 |
| #10598201 | 2 |
| #9437 | 5 |