Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1198 conjugacy classes of subgroups; only the 196 normal subgroups are shown.
This group has 1198 conjugacy classes of subgroups — too many to draw. Only its 196 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. C2×C22⋊#674 | C2 | semidirect |
| 3. C2×#64887 | C2 | semidirect |
| 11. C22×#674 | C22 | semidirect |
| 48. C23×D5 | C16 | semidirect |
| 161. C22×C5 | C22⋊C16 | semidirect |
| 174. C2×D5 | C22⋊C16 | semidirect |
| 266. C5 | #12679 | semidirect |
| 279. C22 | #64887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C8×D5 | 2 |
| C2×C22⋊#674 | 2 |
| C2×#64887 | 2 |
| #12679 | 5 |