Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
228 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 63 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. #10602101 | C2 | semidirect |
| 3. #10600074 | C2 | semidirect |
| 5. C5×#1362 | C2 | semidirect |
| 7. #10597960 | C2 | semidirect |
| 51. #1362 | D5 | semidirect |
| 78. #672 | SD16 | semidirect |
| 202. C5 | #12444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602106 | 2 |
| #10602101 | 2 |
| #10600074 | 2 |
| #10599379 | 2 |
| C5×#1362 | 2 |
| #10598051 | 2 |
| #10597960 | 2 |
| #12444 | 5 |