Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
514 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 87 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. #10615002 | C2 | semidirect |
| 3. #10610259 | C2 | semidirect |
| 4. C5×#1525 | C2 | semidirect |
| 5. #10600670 | C2 | semidirect |
| 6. #10600646 | C2 | semidirect |
| 7. #10598160 | C2 | semidirect |
| 81. #1525 | D5 | semidirect |
| 348. C5 | #10108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615044 | 2 |
| #10615002 | 2 |
| #10610259 | 2 |
| C5×#1525 | 2 |
| #10600670 | 2 |
| #10600646 | 2 |
| #10598160 | 2 |
| #10108 | 5 |