Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
450 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. C5×#1506 | C2 | semidirect |
| 4. #10602614 | C2 | semidirect |
| 6. #10598245 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 12. #65380 | C4 | semidirect |
| 13. #65379 | C4 | semidirect |
| 14. #65373 | C4 | semidirect |
| 15. #65372 | C4 | semidirect |
| 87. #1506 | D5 | semidirect |
| 363. C5 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615085 | 2 |
| #10611060 | 2 |
| C5×#1506 | 2 |
| #10602614 | 2 |
| #10600223 | 2 |
| #10598245 | 2 |
| #10598106 | 2 |
| #9160 | 5 |