Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
508 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 1. C22×D5⋊C16 | C2 | semidirect |
| 3. C2×#64905 | C2 | semidirect |
| 4. #10604732 | C2 | semidirect |
| 5. #10598620 | C2 | semidirect |
| 59. D5⋊C16 | D4 | semidirect |
| 222. C22×C5 | #359 | semidirect |
| 229. C2×D5 | #359 | semidirect |
| 331. C5 | #13063 | semidirect |
| 344. C22 | #64905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D5⋊C16 | 2 |
| #10612445 | 2 |
| C2×#64905 | 2 |
| #10604732 | 2 |
| #10598620 | 2 |
| #13063 | 5 |