Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
426 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 23. #64970 | C4 | semidirect |
| 24. #64969 | C4 | semidirect |
| 302. C5 | #9292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611002 | 2 |
| #10610211 | 2 |
| #10601586 | 2 |
| #10601571 | 2 |
| #10600615 | 2 |
| C5×#1275 | 2 |
| #10598229 | 2 |
| #9292 | 5 |