Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
346 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 4. #10598733 | C2 | semidirect |
| 5. #10598582 | C2 | semidirect |
| 229. D5 | #1338 | semidirect |
| 257. C5 | C2×#1338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#446 | 2 |
| D5⋊(C4⋊C16) | 2 |
| #10603823 | 2 |
| #10598733 | 2 |
| #10598582 | 2 |
| C2×#1338 | 5 |