Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1738 conjugacy classes of subgroups; only the 587 normal subgroups are shown.
This group has 1738 conjugacy classes of subgroups — too many to draw. Only its 587 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. C2×C5×#376 | C2 | semidirect |
| 3. #10613800 | C2 | semidirect |
| 4. #10605161 | C2 | semidirect |
| 5. #10605151 | C2 | semidirect |
| 6. #10605139 | C2 | semidirect |
| 7. #10605111 | C2 | semidirect |
| 52. C2×#376 | D5 | semidirect |
| 187. C5 | #34639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#376 | 2 |
| #10613801 | 2 |
| #10613800 | 2 |
| #10605161 | 2 |
| #10605151 | 2 |
| #10605139 | 2 |
| #10605111 | 2 |
| #34639 | 5 |