Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
558 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 2. C2×Q8⋊#170 | C2 | semidirect |
| 4. #10604187 | C2 | semidirect |
| 5. #10604174 | C2 | semidirect |
| 276. C5 | #9645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic5×#124 | 2 |
| C2×Q8⋊#170 | 2 |
| C2×D4⋊#170 | 2 |
| #10604187 | 2 |
| #10604174 | 2 |
| #9645 | 5 |