Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
532 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10602767 | C2 | semidirect |
| 4. #10602765 | C2 | semidirect |
| 6. #10600322 | C2 | semidirect |
| 7. #10598116 | C2 | semidirect |
| 140. C22⋊Dic5 | SD16 | semidirect |
| 456. C5 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614361 | 2 |
| C5×#1893 | 2 |
| #10602767 | 2 |
| #10602765 | 2 |
| #10602479 | 2 |
| #10600322 | 2 |
| #10598116 | 2 |
| #10565 | 5 |