Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
416 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 105 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. #65383 | C4 | semidirect |
| 13. #65380 | C4 | semidirect |
| 305. C5 | #9308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615098 | 2 |
| #10610995 | 2 |
| C5×#1518 | 2 |
| #10602617 | 2 |
| #10600352 | 2 |
| #10598236 | 2 |
| #10598122 | 2 |
| #9308 | 5 |