Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
534 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10601595 | C2 | semidirect |
| 5. #10600650 | C2 | semidirect |
| 6. C5×#1300 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 86. #1300 | D5 | semidirect |
| 404. C5 | #9029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611066 | 2 |
| #10605150 | 2 |
| #10601595 | 2 |
| C4×#3955 | 2 |
| #10600650 | 2 |
| C5×#1300 | 2 |
| #10598106 | 2 |
| #9029 | 5 |