Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
246 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 118 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. #10598525 | C2 | semidirect |
| 5. #10598523 | C2 | semidirect |
| 51. #681 | C16 | semidirect |
| 93. #168 | C2×C16 | semidirect |
| 172. C5 | #12015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10604151 | 2 |
| C2×C4⋊#674 | 2 |
| #10601532 | 2 |
| #10598525 | 2 |
| #10598523 | 2 |
| #12015 | 5 |