Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
412 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 2. C5×#1452 | C2 | semidirect |
| 4. C2×#64675 | C2 | semidirect |
| 5. #10598230 | C2 | semidirect |
| 44. #1452 | D5 | semidirect |
| 183. C5 | #8188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610186 | 2 |
| C5×#1452 | 2 |
| #10601547 | 2 |
| C2×#64675 | 2 |
| #10598230 | 2 |
| #8188 | 5 |