Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
630 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 133 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. #10602397 | C2 | semidirect |
| 3. C2×D4⋊#168 | C2 | semidirect |
| 4. #10600369 | C2 | semidirect |
| 5. #10598125 | C2 | semidirect |
| 44. C4×#168 | D4 | semidirect |
| 267. C5 | #10432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2537 | 2 |
| #10602397 | 2 |
| C2×D4⋊#168 | 2 |
| #10600369 | 2 |
| #10598125 | 2 |
| #10432 | 5 |