Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
496 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×C5×#362 | C2 | semidirect |
| 4. C2×#64785 | C2 | semidirect |
| 6. #10598307 | C2 | semidirect |
| 7. #10598221 | C2 | semidirect |
| 71. C2×#362 | D5 | semidirect |
| 318. C5 | #13009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65478 | 2 |
| C2×#65182 | 2 |
| C2×C5×#362 | 2 |
| C2×#64785 | 2 |
| C2×#64734 | 2 |
| #10598307 | 2 |
| #10598221 | 2 |
| #13009 | 5 |