Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
594 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10601586 | C2 | semidirect |
| 5. #10600234 | C2 | semidirect |
| 6. C5×#1274 | C2 | semidirect |
| 7. #10598229 | C2 | semidirect |
| 19. #64983 | C4 | semidirect |
| 20. #64982 | C4 | semidirect |
| 51. #4015 | C2×C4 | semidirect |
| 52. #4015 | C2×C4 | semidirect |
| 60. C4×C5×C8 | C2×C4 | semidirect |
| 74. #1274 | D5 | semidirect |
| 104. C42×C5 | SD16 | semidirect |
| 225. C4×C8 | C4×D5 | semidirect |
| 301. C42 | #677 | semidirect |
| 357. C5 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611036 | 2 |
| #10605120 | 2 |
| #10601586 | 2 |
| #10601567 | 2 |
| #10600234 | 2 |
| C5×#1274 | 2 |
| #10598229 | 2 |
| #9295 | 5 |