Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
370 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 370 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×#1557 | C2 | semidirect |
| 3. #10602591 | C2 | semidirect |
| 4. #10601599 | C2 | semidirect |
| 5. #10601310 | C2 | semidirect |
| 6. #10601297 | C2 | semidirect |
| 7. #10598249 | C2 | semidirect |
| 67. #1557 | D5 | semidirect |
| 297. C5 | #10525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615044 | 2 |
| C5×#1557 | 2 |
| #10602591 | 2 |
| #10601599 | 2 |
| #10601310 | 2 |
| #10601297 | 2 |
| #10598249 | 2 |
| #10525 | 5 |