Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 3. C5×#1995 | C2 | semidirect |
| 4. #10602620 | C2 | semidirect |
| 6. #10598201 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 14. #65378 | C4 | semidirect |
| 15. #65375 | C4 | semidirect |
| 16. #65371 | C4 | semidirect |
| 17. #65369 | C4 | semidirect |
| 91. #1995 | D5 | semidirect |
| 371. C5 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615076 | 2 |
| #10610785 | 2 |
| C5×#1995 | 2 |
| #10602620 | 2 |
| #10600224 | 2 |
| #10598201 | 2 |
| #10598106 | 2 |
| #8998 | 5 |