Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
234 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 95 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. #64722 | C4 | semidirect |
| 20. C16×Dic5 | C4 | semidirect |
| 195. C5 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602192 | 2 |
| #10601491 | 2 |
| #10601450 | 2 |
| C5×#1382 | 2 |
| #10598298 | 2 |
| #10598222 | 2 |
| #10598216 | 2 |
| #12893 | 5 |