Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
586 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 128 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. #10604948 | C2 | semidirect |
| 3. C2×D4⋊#170 | C2 | semidirect |
| 4. C2×#64884 | C2 | semidirect |
| 5. C2×#170⋊C8 | C2 | semidirect |
| 74. C2×#170 | D8 | semidirect |
| 249. C5 | #9663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×Dic5 | 2 |
| #10604948 | 2 |
| C2×D4⋊#170 | 2 |
| C2×#64884 | 2 |
| C2×#170⋊C8 | 2 |
| #9663 | 5 |