Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
540 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10611024 | C2 | semidirect |
| 3. #10601567 | C2 | semidirect |
| 4. #10600669 | C2 | semidirect |
| 5. #10600647 | C2 | semidirect |
| 6. C5×#1299 | C2 | semidirect |
| 7. #10598203 | C2 | semidirect |
| 82. #1299 | D5 | semidirect |
| 190. D20 | #100 | semidirect |
| 375. C5 | #9359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611024 | 2 |
| #10610787 | 2 |
| #10601567 | 2 |
| #10600669 | 2 |
| #10600647 | 2 |
| C5×#1299 | 2 |
| #10598203 | 2 |
| #9359 | 5 |