Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
452 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 92 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. #10603920 | C2 | semidirect |
| 5. #10598570 | C2 | semidirect |
| 6. C2×#4131 | C4 | semidirect |
| 10. #65776 | C4 | semidirect |
| 15. #65682 | C4 | semidirect |
| 16. #65676 | C4 | semidirect |
| 18. #64923 | C4 | semidirect |
| 20. #64855 | C4 | semidirect |
| 281. C5 | #12634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617362 | 2 |
| #10604602 | 2 |
| #10603920 | 2 |
| #10599944 | 2 |
| #10598570 | 2 |
| #12634 | 5 |