Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
490 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 83 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. #10615100 | C2 | semidirect |
| 4. C5×#1531 | C2 | semidirect |
| 5. #10600631 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 87. #1531 | D5 | semidirect |
| 362. C5 | #10029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615100 | 2 |
| #10615094 | 2 |
| #10611086 | 2 |
| C5×#1531 | 2 |
| #10600631 | 2 |
| #10600591 | 2 |
| #10598246 | 2 |
| #10029 | 5 |