Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
356 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 21. #64767 | C4 | semidirect |
| 22. #64767 | C4 | semidirect |
| 23. #64767 | C4 | semidirect |
| 24. #64767 | C4 | semidirect |
| 278. C5 | #8936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615063 | 2 |
| C5×#1994 | 2 |
| #10602622 | 2 |
| #10601288 | 2 |
| #10598102 | 2 |
| #8936 | 5 |