Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
414 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 79 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. #10597941 | C2 | semidirect |
| 5. #10597940 | C2 | semidirect |
| 7. C2×#4070 | C4 | semidirect |
| 12. #65500 | C4 | semidirect |
| 14. #65272 | C4 | semidirect |
| 15. #65268 | C4 | semidirect |
| 330. C5 | #11826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614123 | 2 |
| C5×#1466 | 2 |
| #10602412 | 2 |
| #10597941 | 2 |
| #10597940 | 2 |
| #11826 | 5 |