Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
462 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 131 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. #10598126 | C2 | semidirect |
| 4. #10598123 | C2 | semidirect |
| 35. C2×C42×C5 | C8 | semidirect |
| 146. C2×C42 | #168 | semidirect |
| 250. C5 | #11447 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2285 | 2 |
| #10602364 | 2 |
| #10598126 | 2 |
| #10598123 | 2 |
| #11447 | 5 |