Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 4. #10602569 | C2 | semidirect |
| 5. #10598161 | C2 | semidirect |
| 213. C5 | #9421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3152 | 2 |
| #10615010 | 2 |
| #10602592 | 2 |
| #10602569 | 2 |
| #10598161 | 2 |
| #9421 | 5 |