Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
336 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 25. #64685 | C4 | semidirect |
| 26. #64685 | C4 | semidirect |
| 27. #64685 | C4 | semidirect |
| 28. #64685 | C4 | semidirect |
| 298. C5 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611048 | 2 |
| #10601588 | 2 |
| #10600655 | 2 |
| #10600644 | 2 |
| #10600234 | 2 |
| C5×#1300 | 2 |
| #10598106 | 2 |
| #8919 | 5 |