Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
476 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 86 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. #10617262 | C2 | semidirect |
| 3. #10604517 | C2 | semidirect |
| 6. #10598563 | C2 | semidirect |
| 7. #10598556 | C2 | semidirect |
| 128. C2×#170 | SD16 | semidirect |
| 415. C5 | #9050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617262 | 2 |
| #10613143 | 2 |
| #10604517 | 2 |
| #10604329 | 2 |
| #10604272 | 2 |
| #10598563 | 2 |
| #10598556 | 2 |
| #9050 | 5 |