Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
164 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 24. C5×Q32 | Q8 | semidirect |
| 86. Q32 | Dic10 | semidirect |
| 138. C5 | #13706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic5×Q32 | 2 |
| #10600113 | 2 |
| C5×#1416 | 2 |
| #10598317 | 2 |
| #10598082 | 2 |
| #10598081 | 2 |
| #10598066 | 2 |
| #13706 | 5 |