Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1158 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 1158 conjugacy classes of subgroups — too many to draw. Only its 272 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 |
|---|---|---|
| 3. D5⋊#330 | C2 | direct (N × H) |
| 4. C2×#64870 | C2 | semidirect |
| 20. #64870 | C22 | semidirect |
| 177. C2×D5 | #330 | semidirect |
| 224. C2×C5 | C2×#330 | semidirect |
| 227. D5 | C2×#330 | semidirect |
| 252. C5 | C22×#330 | semidirect |
| 268. C2 | D5⋊#330 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×#125 | 2 |
| C2×#65676 | 2 |
| D5⋊#330 | 2 |
| C2×#64870 | 2 |
| C22×#330 | 5 |