Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1254 conjugacy classes of subgroups; only the 216 normal subgroups are shown.
This group has 1254 conjugacy classes of subgroups — too many to draw. Only its 216 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. #10604986 | C2 | semidirect |
| 4. #10604338 | C2 | semidirect |
| 5. #10604195 | C2 | semidirect |
| 289. C5 | #21756 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66058 | 2 |
| #10617516 | 2 |
| #10604986 | 2 |
| #10604338 | 2 |
| #10604195 | 2 |
| #21756 | 5 |