Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1238 conjugacy classes of subgroups; only the 344 normal subgroups are shown.
This group has 1238 conjugacy classes of subgroups — too many to draw. Only its 344 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. #10617521 | C2 | semidirect |
| 3. #10604290 | C2 | semidirect |
| 4. #10604159 | C2 | semidirect |
| 21. C2×#713 | C8 | semidirect |
| 210. C5 | #17353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65908 | 2 |
| #10617521 | 2 |
| #10604290 | 2 |
| #10604159 | 2 |
| #17353 | 5 |