Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 19. #64725 | C4 | semidirect |
| 20. #64725 | C4 | semidirect |
| 21. #64724 | C4 | semidirect |
| 22. #64724 | C4 | semidirect |
| 231. C5 | #13113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602197 | 2 |
| #10601497 | 2 |
| #10601495 | 2 |
| C5×#1381 | 2 |
| #10598295 | 2 |
| #10598220 | 2 |
| #13113 | 5 |