Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
442 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 73 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. C5×#1669 | C2 | semidirect |
| 3. #10602108 | C2 | semidirect |
| 4. #10602106 | C2 | semidirect |
| 5. D4⋊#672 | C2 | semidirect |
| 6. #10597964 | C2 | semidirect |
| 7. #10597962 | C2 | semidirect |
| 10. C5×#494 | C22 | semidirect |
| 20. C5×#335 | C22 | semidirect |
| 23. C4⋊#672 | C22 | semidirect |
| 24. C4×#672 | C22 | semidirect |
| 60. #1669 | D5 | semidirect |
| 108. #494 | C2×D5 | semidirect |
| 119. #335 | C2×D5 | semidirect |
| 130. C5×D4 | SD32 | semidirect |
| 269. D4 | #3960 | semidirect |
| 285. C5 | #12320 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D40 | 2 |
| C5×#1669 | 2 |
| #10602108 | 2 |
| #10602106 | 2 |
| D4⋊#672 | 2 |
| #10597964 | 2 |
| #10597962 | 2 |
| #12320 | 5 |