Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 1. C5×#1767 | C2 | semidirect |
| 4. #10601214 | C2 | semidirect |
| 6. #10598198 | C2 | semidirect |
| 7. #10598102 | C2 | semidirect |
| 19. #64705 | C4 | semidirect |
| 21. #64702 | C4 | semidirect |
| 56. #1767 | D5 | semidirect |
| 285. C5 | #9582 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1767 | 2 |
| #10601224 | 2 |
| #10601219 | 2 |
| #10601214 | 2 |
| #10600188 | 2 |
| #10598198 | 2 |
| #10598102 | 2 |
| #9582 | 5 |