Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
396 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 79 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. C5×#2095 | C2 | semidirect |
| 4. #10600365 | C2 | semidirect |
| 5. #10598133 | C2 | semidirect |
| 7. #10597968 | C2 | semidirect |
| 61. #2095 | D5 | semidirect |
| 338. C5 | #7834 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608332 | 2 |
| C5×#2095 | 2 |
| #10600380 | 2 |
| #10600365 | 2 |
| #10598133 | 2 |
| #10597970 | 2 |
| #10597968 | 2 |
| #7834 | 5 |