Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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. #10602303 | C2 | semidirect |
| 3. #10602240 | C2 | semidirect |
| 4. #10598319 | C2 | semidirect |
| 5. #10598300 | C2 | semidirect |
| 13. C2×Dic40 | C22 | semidirect |
| 16. #64725 | C22 | semidirect |
| 18. #64719 | C22 | semidirect |
| 199. C5 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3414 | 2 |
| #10602303 | 2 |
| #10602240 | 2 |
| #10598319 | 2 |
| #10598300 | 2 |
| #13668 | 5 |