Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
414 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 152 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 |
|---|---|---|
| 14. #64883 | C4 | semidirect |
| 15. C8×#170 | C4 | semidirect |
| 108. #170 | #106 | semidirect |
| 110. #168 | #97 | semidirect |
| 206. C5 | #8283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64883 | 2 |
| C2×C8×#170 | 2 |
| #10604315 | 2 |
| #10599577 | 2 |
| #10598721 | 2 |
| #8283 | 5 |