Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
548 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10602770 | C2 | semidirect |
| 3. C8×C22⋊Dic5 | C2 | semidirect |
| 4. #10602469 | C2 | semidirect |
| 5. #10602466 | C2 | semidirect |
| 6. C22×C5×D8 | C4 | semidirect |
| 13. C2×C5×#107 | C4 | semidirect |
| 14. C2×C5×#102 | C4 | semidirect |
| 108. C22×D8 | Dic5 | semidirect |
| 116. C2×#107 | Dic5 | semidirect |
| 117. C2×#102 | Dic5 | semidirect |
| 311. C5 | #9815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#466 | 2 |
| #10602770 | 2 |
| C8×C22⋊Dic5 | 2 |
| #10602469 | 2 |
| #10602466 | 2 |
| #9815 | 5 |