Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
452 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10598143 | C2 | semidirect |
| 5. #10598139 | C2 | semidirect |
| 321. C5 | #11722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2627 | 2 |
| C2×#64750 | 2 |
| C2×#64748 | 2 |
| #10598143 | 2 |
| #10598139 | 2 |
| #11722 | 5 |