Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
334 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 334 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 |
|---|---|---|
| 1. C5×#2108 | C2 | semidirect |
| 5. #10600687 | C2 | semidirect |
| 6. #10598308 | C2 | semidirect |
| 7. #10598299 | C2 | semidirect |
| 21. #64736 | C4 | semidirect |
| 60. #2108 | D5 | semidirect |
| 265. C5 | #13144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2108 | 2 |
| C2×#64736 | 2 |
| C2×#64729 | 2 |
| #10600696 | 2 |
| #10600687 | 2 |
| #10598308 | 2 |
| #10598299 | 2 |
| #13144 | 5 |