Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 83 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. C5×#1459 | C2 | semidirect |
| 3. C4×#3965 | C2 | semidirect |
| 4. #10597950 | C2 | semidirect |
| 5. #10597947 | C2 | semidirect |
| 60. #1459 | D5 | semidirect |
| 345. C5 | #11737 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614153 | 2 |
| C5×#1459 | 2 |
| C4×#3965 | 2 |
| #10597950 | 2 |
| #10597947 | 2 |
| #11737 | 5 |