Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
904 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 904 conjugacy classes of subgroups — too many to draw. Only its 160 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. #10605009 | C2 | semidirect |
| 3. C2×#64912 | C2 | semidirect |
| 12. C2×#3998 | C22 | semidirect |
| 295. C5 | #12686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66153 | 2 |
| #10605009 | 2 |
| C2×#64912 | 2 |
| #12686 | 5 |