Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
614 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 4. C2×#64870 | C2 | semidirect |
| 5. #10598722 | C2 | semidirect |
| 339. C5 | #9122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#704 | 2 |
| #10605729 | 2 |
| #10604897 | 2 |
| C2×#64870 | 2 |
| #10598722 | 2 |
| #9122 | 5 |