Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
382 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 107 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×#2163 | C2 | semidirect |
| 3. #10600538 | C2 | semidirect |
| 4. #10598048 | C2 | semidirect |
| 14. C5×C4⋊C16 | C22 | semidirect |
| 19. #64681 | C22 | semidirect |
| 48. #2163 | D5 | semidirect |
| 92. C4⋊C16 | C2×D5 | semidirect |
| 229. C5 | #11636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64977 | 2 |
| C5×#2163 | 2 |
| #10600538 | 2 |
| #10598048 | 2 |
| #11636 | 5 |