Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 364 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. #10599912 | C2 | semidirect |
| 3. C5×#1327 | C2 | semidirect |
| 4. #10598208 | C2 | semidirect |
| 5. #10598022 | C2 | semidirect |
| 51. #1327 | D5 | semidirect |
| 243. C5 | #11486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610773 | 2 |
| #10599912 | 2 |
| C5×#1327 | 2 |
| #10598208 | 2 |
| #10598022 | 2 |
| #11486 | 5 |