Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
306 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 99 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. #10602218 | C2 | semidirect |
| 5. #10600536 | C2 | semidirect |
| 6. C5×#1376 | C2 | semidirect |
| 7. #10598304 | C2 | semidirect |
| 63. #1376 | D5 | semidirect |
| 265. C5 | #13129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602231 | 2 |
| #10602228 | 2 |
| #10602218 | 2 |
| #10600582 | 2 |
| #10600536 | 2 |
| C5×#1376 | 2 |
| #10598304 | 2 |
| #13129 | 5 |