Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
402 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 114 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. #10604702 | C2 | semidirect |
| 3. C2×#64882 | C2 | semidirect |
| 4. #10598610 | C2 | semidirect |
| 5. #10598609 | C2 | semidirect |
| 32. #4050 | C8 | semidirect |
| 98. Dic20 | C2×C8 | semidirect |
| 100. D40 | C2×C8 | semidirect |
| 279. C5 | #11592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610896 | 2 |
| #10604702 | 2 |
| C2×#64882 | 2 |
| #10598610 | 2 |
| #10598609 | 2 |
| #11592 | 5 |