Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
512 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 2. #10605349 | C2 | semidirect |
| 4. #10601293 | C2 | semidirect |
| 6. C5×#1303 | C2 | semidirect |
| 7. #10598227 | C2 | semidirect |
| 21. #65140 | C4 | semidirect |
| 22. #65137 | C4 | semidirect |
| 78. #1303 | D5 | semidirect |
| 128. C4×Dic5 | SD16 | semidirect |
| 362. C5 | #9238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611040 | 2 |
| #10605349 | 2 |
| #10601305 | 2 |
| #10601293 | 2 |
| #10600262 | 2 |
| C5×#1303 | 2 |
| #10598227 | 2 |
| #9238 | 5 |