Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
462 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 97. C2×C5×C8 | Q16 | semidirect |
| 256. C2×C8 | #689 | semidirect |
| 316. C5 | #10224 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3162 | 2 |
| #10615101 | 2 |
| #10615055 | 2 |
| #10602631 | 2 |
| #10600621 | 2 |
| #10598152 | 2 |
| #10224 | 5 |