Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 13. #65370 | C4 | semidirect |
| 14. #65368 | C4 | semidirect |
| 316. C5 | #9296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615054 | 2 |
| #10605883 | 2 |
| C5×#1518 | 2 |
| #10602633 | 2 |
| #10601571 | 2 |
| #10598228 | 2 |
| #10598122 | 2 |
| #9296 | 5 |