Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
374 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 2. #10602105 | C2 | semidirect |
| 3. #10601685 | C2 | semidirect |
| 4. #10601643 | C2 | semidirect |
| 5. #10598284 | C2 | semidirect |
| 6. #10598254 | C2 | semidirect |
| 7. D4⋊#672 | C2 | semidirect |
| 265. C5 | #12323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3283 | 2 |
| #10602105 | 2 |
| #10601685 | 2 |
| #10601643 | 2 |
| #10598284 | 2 |
| #10598254 | 2 |
| D4⋊#672 | 2 |
| #12323 | 5 |