Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
324 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 71 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×#64740 | C2 | semidirect |
| 3. #10602209 | C2 | semidirect |
| 4. #10598315 | C2 | semidirect |
| 5. C22⋊#3926 | C2 | semidirect |
| 12. C2×Dic40 | C22 | semidirect |
| 14. #64724 | C22 | semidirect |
| 16. C2×#3926 | C22 | semidirect |
| 116. C22×C5 | SD64 | semidirect |
| 168. C5 | #13664 | semidirect |
| 175. C22 | #64740 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C5×D16 | 2 |
| C2×#64740 | 2 |
| #10602209 | 2 |
| #10598315 | 2 |
| C22⋊#3926 | 2 |
| #13664 | 5 |