Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
320 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 225. C5 | #10663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1570 | 2 |
| #10601563 | 2 |
| #10601312 | 2 |
| #10601293 | 2 |
| #10601266 | 2 |
| #10601214 | 2 |
| #10598231 | 2 |
| #10663 | 5 |