Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
442 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 442 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. C5×#2148 | C2 | semidirect |
| 3. #10602869 | C2 | semidirect |
| 4. #10602243 | C2 | semidirect |
| 5. #10601498 | C2 | semidirect |
| 6. #10601480 | C2 | semidirect |
| 7. #10598302 | C2 | semidirect |
| 69. #3949 | D4 | semidirect |
| 78. #2148 | D5 | semidirect |
| 360. C5 | #13416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615635 | 2 |
| C5×#2148 | 2 |
| #10602869 | 2 |
| #10602243 | 2 |
| #10601498 | 2 |
| #10601480 | 2 |
| #10598302 | 2 |
| #13416 | 5 |