Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1168 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 1168 conjugacy classes of subgroups — too many to draw. Only its 139 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. #10602932 | C2 | semidirect |
| 3. #10602930 | C2 | semidirect |
| 4. C2×#64756 | C2 | semidirect |
| 6. C23×C5×D4 | C4 | semidirect |
| 12. C2×C5×#120 | C4 | semidirect |
| 14. C2×C5×#117 | C4 | semidirect |
| 127. C23×D4 | Dic5 | semidirect |
| 133. C2×#120 | Dic5 | semidirect |
| 135. C2×#117 | Dic5 | semidirect |
| 383. C5 | #12691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#535 | 2 |
| #10602932 | 2 |
| #10602930 | 2 |
| C2×#64756 | 2 |
| #12691 | 5 |