Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
294 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 78 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⋊#368 | C2 | semidirect |
| 3. C2×D5⋊C32 | C2 | semidirect |
| 4. #10598684 | C2 | semidirect |
| 5. #10598680 | C2 | semidirect |
| 20. #64851 | C22 | semidirect |
| 22. D5⋊C32 | C22 | semidirect |
| 222. D5 | #1417 | semidirect |
| 251. C5 | C2×#1417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#508 | 2 |
| D5⋊#368 | 2 |
| C2×D5⋊C32 | 2 |
| #10598684 | 2 |
| #10598680 | 2 |
| C2×#1417 | 5 |