Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
194 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #10598653 | C2 | semidirect |
| 4. C4⋊#3928 | C2 | semidirect |
| 137. C5 | #13640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D5×C16 | 2 |
| #10598654 | 2 |
| #10598653 | 2 |
| C4⋊#3928 | 2 |
| #13640 | 5 |