Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1614 conjugacy classes of subgroups; only the 752 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 752 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. #10603773 | C2 | semidirect |
| 10. #65676 | C4 | semidirect |
| 11. C4×D5⋊C8 | C4 | semidirect |
| 29. #4002 | C2×C4 | semidirect |
| 30. C4×#170 | C2×C4 | semidirect |
| 126. D5 | #1726 | semidirect |
| 142. C5 | C2×#1726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65676 | 2 |
| C2×C4×D5⋊C8 | 2 |
| D5×#376 | 2 |
| #10603773 | 2 |
| C2×#1726 | 5 |