Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
438 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 203 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 |
|---|---|---|
| 15. #64675 | C4 | semidirect |
| 86. C5×C8 | #106 | semidirect |
| 160. C8 | #3940 | semidirect |
| 161. C5 | #8819 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1845 | 2 |
| #10600557 | 2 |
| C2×#64675 | 2 |
| #10600369 | 2 |
| #10600367 | 2 |
| #8819 | 5 |