Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
522 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #10600775 | C2 | semidirect |
| 5. #10600765 | C2 | semidirect |
| 6. C22⋊C4×#168 | C2 | semidirect |
| 7. #10600238 | C2 | semidirect |
| 9. C22×#687 | C4 | semidirect |
| 14. C2×#3964 | C4 | semidirect |
| 22. C2×#3942 | C4 | semidirect |
| 23. C2×#3940 | C4 | semidirect |
| 399. C5 | #9813 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65330 | 2 |
| C5×#1507 | 2 |
| #10602469 | 2 |
| #10600775 | 2 |
| #10600765 | 2 |
| C22⋊C4×#168 | 2 |
| #10600238 | 2 |
| #9813 | 5 |