Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
512 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #10611003 | C2 | semidirect |
| 5. #10601249 | C2 | semidirect |
| 6. #10600661 | C2 | semidirect |
| 7. C5×#1283 | C2 | semidirect |
| 83. #1283 | D5 | semidirect |
| 352. C5 | #10202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611003 | 2 |
| #10610758 | 2 |
| #10610259 | 2 |
| #10601582 | 2 |
| #10601249 | 2 |
| #10600661 | 2 |
| C5×#1283 | 2 |
| #10202 | 5 |