Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
212 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 65 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×#2247 | C2 | semidirect |
| 4. #10598317 | C2 | semidirect |
| 5. C4⋊#3926 | C2 | semidirect |
| 34. #2247 | D5 | semidirect |
| 102. C4×C5 | SD64 | semidirect |
| 142. C5 | #13687 | semidirect |
| 150. C4 | #64741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2247 | 2 |
| C2×#64741 | 2 |
| C4×D80 | 2 |
| #10598317 | 2 |
| C4⋊#3926 | 2 |
| #13687 | 5 |