Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
522 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 164 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. #10604702 | C2 | semidirect |
| 4. #10598701 | C2 | semidirect |
| 15. #64891 | C4 | semidirect |
| 38. #3998 | C2×C4 | semidirect |
| 170. Dic5 | #349 | semidirect |
| 241. C5 | C4×#349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64996 | 2 |
| C2×#64891 | 2 |
| #10604702 | 2 |
| #10598701 | 2 |
| C4×#349 | 5 |