Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
434 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 98 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. D5⋊(C4⋊C16) | C2 | semidirect |
| 3. D5⋊#334 | C2 | semidirect |
| 4. #10598808 | C2 | semidirect |
| 5. #10598800 | C2 | semidirect |
| 19. #64888 | C22 | semidirect |
| 20. #64883 | C22 | semidirect |
| 276. D5 | #1360 | semidirect |
| 312. C5 | C2×#1360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#495 | 2 |
| D5⋊(C4⋊C16) | 2 |
| D5⋊#334 | 2 |
| #10598808 | 2 |
| #10598800 | 2 |
| C2×#1360 | 5 |