Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
366 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 13. C16×Dic5 | C4 | semidirect |
| 14. #64710 | C4 | semidirect |
| 57. #672 | C42 | semidirect |
| 115. Dic5 | #367 | semidirect |
| 161. C5 | C4×#367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C16×Dic5 | 2 |
| Dic5×#107 | 2 |
| C2×#64710 | 2 |
| C5×#1380 | 2 |
| #10598297 | 2 |
| C4×#367 | 5 |