Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 97 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×#2822 | C2 | semidirect |
| 3. C2×#64763 | C2 | semidirect |
| 5. #10598121 | C2 | semidirect |
| 49. #2822 | D5 | semidirect |
| 226. C5 | #10080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2822 | 2 |
| C2×#65356 | 2 |
| C2×#64763 | 2 |
| #10600346 | 2 |
| #10598121 | 2 |
| #10080 | 5 |