Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
372 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 10. C2×C4⋊#168 | C4 | semidirect |
| 11. C2×C4×#168 | C4 | semidirect |
| 13. #64748 | C4 | semidirect |
| 31. C5×#99 | C8 | semidirect |
| 146. #99 | #168 | semidirect |
| 261. C5 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#99 | 2 |
| #10602407 | 2 |
| #10602393 | 2 |
| #7205 | 5 |