Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
378 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 154. C5×C8 | #101 | semidirect |
| 285. C8 | #4005 | semidirect |
| 286. C5 | #8619 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64990 | 2 |
| #10604697 | 2 |
| #10604696 | 2 |
| #10604194 | 2 |
| #10598772 | 2 |
| #8619 | 5 |