Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
368 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 98 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. #10604695 | C2 | semidirect |
| 4. #10604694 | C2 | semidirect |
| 5. #10598773 | C2 | semidirect |
| 281. C5 | #8603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65009 | 2 |
| #10604877 | 2 |
| #10604695 | 2 |
| #10604694 | 2 |
| #10598773 | 2 |
| #8603 | 5 |