Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
604 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #10615098 | C2 | semidirect |
| 4. C5×#1503 | C2 | semidirect |
| 6. #10601560 | C2 | semidirect |
| 7. #10598111 | C2 | semidirect |
| 82. #1503 | D5 | semidirect |
| 111. C2×Dic10 | SD16 | semidirect |
| 385. C5 | #10250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615098 | 2 |
| #10615086 | 2 |
| #10605443 | 2 |
| C5×#1503 | 2 |
| #10601567 | 2 |
| #10601560 | 2 |
| #10598111 | 2 |
| #10250 | 5 |