Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 292. C5 | #10556 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3165 | 2 |
| #10602623 | 2 |
| #10602617 | 2 |
| #10602567 | 2 |
| C2×#64767 | 2 |
| #10600668 | 2 |
| #10598159 | 2 |
| #10556 | 5 |