Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
184 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 1. #10604111 | C2 | semidirect |
| 3. #10598669 | C2 | semidirect |
| 4. #10598538 | C2 | semidirect |
| 5. #10598535 | C2 | semidirect |
| 117. C5 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10604111 | 2 |
| #10600093 | 2 |
| #10598669 | 2 |
| #10598538 | 2 |
| #10598535 | 2 |
| #13648 | 5 |