Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
406 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 257. C5 | #9775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65370 | 2 |
| C5×#1546 | 2 |
| #10602566 | 2 |
| #10601572 | 2 |
| #10601535 | 2 |
| #10601311 | 2 |
| #10601301 | 2 |
| #9775 | 5 |