Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
504 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 504 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 |
|---|---|---|
| 3. C5×#1549 | C2 | semidirect |
| 4. #10602568 | C2 | semidirect |
| 6. #10598234 | C2 | semidirect |
| 7. #10598201 | C2 | semidirect |
| 76. #1549 | D5 | semidirect |
| 323. C5 | #9435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614934 | 2 |
| #10611020 | 2 |
| C5×#1549 | 2 |
| #10602568 | 2 |
| #10601298 | 2 |
| #10598234 | 2 |
| #10598201 | 2 |
| #9435 | 5 |