Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 542 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 |
|---|---|---|
| 2. #10615071 | C2 | semidirect |
| 4. C5×#1518 | C2 | semidirect |
| 6. #10600339 | C2 | semidirect |
| 7. #10598232 | C2 | semidirect |
| 82. #1518 | D5 | semidirect |
| 129. C2×#168 | SD16 | semidirect |
| 345. C5 | #10220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615086 | 2 |
| #10615071 | 2 |
| #10611036 | 2 |
| C5×#1518 | 2 |
| #10600346 | 2 |
| #10600339 | 2 |
| #10598232 | 2 |
| #10220 | 5 |