Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
428 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 97 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. #10600655 | C2 | semidirect |
| 5. #10600531 | C2 | semidirect |
| 6. C5×#1278 | C2 | semidirect |
| 7. #10598234 | C2 | semidirect |
| 83. #1278 | D5 | semidirect |
| 356. C5 | #9214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611033 | 2 |
| #10610186 | 2 |
| #10600655 | 2 |
| #10600647 | 2 |
| #10600531 | 2 |
| C5×#1278 | 2 |
| #10598234 | 2 |
| #9214 | 5 |