Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
502 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. C5×#1464 | C2 | semidirect |
| 3. #10602387 | C2 | semidirect |
| 4. #10597939 | C2 | semidirect |
| 7. C2×#4020 | C4 | semidirect |
| 11. #65280 | C4 | semidirect |
| 15. #65225 | C4 | semidirect |
| 51. #1464 | D5 | semidirect |
| 293. C5 | #11800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614017 | 2 |
| C5×#1464 | 2 |
| #10602387 | 2 |
| #10597939 | 2 |
| #11800 | 5 |