Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
380 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 75 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×#1526 | C2 | semidirect |
| 3. #10602626 | C2 | semidirect |
| 6. #10600644 | C2 | semidirect |
| 7. #10598161 | C2 | semidirect |
| 81. #1526 | D5 | semidirect |
| 337. C5 | #10498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615088 | 2 |
| C5×#1526 | 2 |
| #10602626 | 2 |
| #10600671 | 2 |
| #10600653 | 2 |
| #10600644 | 2 |
| #10598161 | 2 |
| #10498 | 5 |