Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
236 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 207. C5 | #10646 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1497 | 2 |
| #10602626 | 2 |
| #10602624 | 2 |
| #10601543 | 2 |
| #10598249 | 2 |
| #10598246 | 2 |
| #10598238 | 2 |
| #10646 | 5 |