Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 2. C5×#1559 | C2 | semidirect |
| 3. #10602615 | C2 | semidirect |
| 5. #10601312 | C2 | semidirect |
| 7. #10598249 | C2 | semidirect |
| 67. #1559 | D5 | semidirect |
| 286. C5 | #10526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615097 | 2 |
| C5×#1559 | 2 |
| #10602615 | 2 |
| #10601599 | 2 |
| #10601312 | 2 |
| #10601297 | 2 |
| #10598249 | 2 |
| #10526 | 5 |