Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
400 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #10601580 | C2 | semidirect |
| 5. C2×#64685 | C2 | semidirect |
| 6. #10598232 | C2 | semidirect |
| 7. #10598153 | C2 | semidirect |
| 361. C5 | #9266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2968 | 2 |
| #10614852 | 2 |
| #10602541 | 2 |
| #10601580 | 2 |
| C2×#64685 | 2 |
| #10598232 | 2 |
| #10598153 | 2 |
| #9266 | 5 |