Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
932 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 932 conjugacy classes of subgroups — too many to draw. Only its 114 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×#64905 | C2 | semidirect |
| 3. #10604732 | C2 | semidirect |
| 4. D5⋊(C22⋊C16) | C2 | semidirect |
| 16. C2×#3996 | C22 | semidirect |
| 17. C2×D5⋊C16 | C22 | semidirect |
| 221. C22×C5 | #359 | semidirect |
| 336. C5 | #12734 | semidirect |
| 350. C22 | #64905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4058 | 2 |
| C2×#64905 | 2 |
| #10604732 | 2 |
| D5⋊(C22⋊C16) | 2 |
| #12734 | 5 |