Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
330 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 106 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. C2×#64842 | C2 | semidirect |
| 3. C22⋊#3928 | C2 | semidirect |
| 4. #10598654 | C2 | semidirect |
| 13. C2×#3928 | C22 | semidirect |
| 122. C22×C5 | M64 | semidirect |
| 130. C2×D5 | M64 | semidirect |
| 192. C5 | #13553 | semidirect |
| 202. C22 | #64842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D5×C16 | 2 |
| C2×#64842 | 2 |
| C22⋊#3928 | 2 |
| #10598654 | 2 |
| #13553 | 5 |