Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
582 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 134 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. C2×#64872 | C2 | semidirect |
| 4. #10604191 | C2 | semidirect |
| 5. #10604173 | C2 | semidirect |
| 33. #4082 | C8 | semidirect |
| 287. C5 | #9640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608023 | 2 |
| C2×D4⋊#170 | 2 |
| C2×#64872 | 2 |
| #10604191 | 2 |
| #10604173 | 2 |
| #9640 | 5 |