Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 12. #65370 | C4 | semidirect |
| 13. #65367 | C4 | semidirect |
| 286. C5 | #9288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615060 | 2 |
| #10615055 | 2 |
| C5×#1518 | 2 |
| #10601572 | 2 |
| #10600348 | 2 |
| #10598231 | 2 |
| #10598122 | 2 |
| #9288 | 5 |