Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1178 conjugacy classes of subgroups; only the 248 normal subgroups are shown.
This group has 1178 conjugacy classes of subgroups — too many to draw. Only its 248 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. #10604972 | C2 | semidirect |
| 4. #10604971 | C2 | semidirect |
| 23. #64931 | C22 | semidirect |
| 322. C5 | #17746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4090 | 2 |
| #10617473 | 2 |
| #10604972 | 2 |
| #10604971 | 2 |
| #17746 | 5 |