Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
504 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 111 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. #10602568 | C2 | semidirect |
| 5. #10598160 | C2 | semidirect |
| 237. C5 | #9435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3152 | 2 |
| #10615009 | 2 |
| #10602603 | 2 |
| #10602568 | 2 |
| #10598160 | 2 |
| #9435 | 5 |