Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 127 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. C22×#3944 | C2 | semidirect |
| 3. C5×#1810 | C2 | semidirect |
| 4. C2×#64717 | C2 | semidirect |
| 5. #10598220 | C2 | semidirect |
| 52. C2×#672 | D4 | semidirect |
| 56. #1810 | D5 | semidirect |
| 254. C5 | #13064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615473 | 2 |
| C22×#3944 | 2 |
| C5×#1810 | 2 |
| C2×#64717 | 2 |
| #10598220 | 2 |
| #13064 | 5 |