Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 12. #65370 | C4 | semidirect |
| 13. #65367 | C4 | semidirect |
| 304. C5 | #9298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615055 | 2 |
| #10605122 | 2 |
| C5×#1995 | 2 |
| #10602631 | 2 |
| #10601301 | 2 |
| #10598204 | 2 |
| #10598105 | 2 |
| #9298 | 5 |