Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
204 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 1. #10600094 | C2 | semidirect |
| 3. C5×#1369 | C2 | semidirect |
| 4. #10598060 | C2 | semidirect |
| 5. #10598002 | C2 | semidirect |
| 27. Dic40 | C8 | semidirect |
| 28. #3932 | C8 | semidirect |
| 29. D80 | C8 | semidirect |
| 34. #1369 | D5 | semidirect |
| 125. C5 | #12068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10600094 | 2 |
| #10599878 | 2 |
| C5×#1369 | 2 |
| #10598060 | 2 |
| #10598002 | 2 |
| #12068 | 5 |