Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10601539 | C2 | semidirect |
| 3. #10601317 | C2 | semidirect |
| 6. #10600279 | C2 | semidirect |
| 7. C5×#1303 | C2 | semidirect |
| 76. #1303 | D5 | semidirect |
| 120. #681 | SD16 | semidirect |
| 346. C5 | #10501 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611043 | 2 |
| #10601539 | 2 |
| #10601317 | 2 |
| #10601296 | 2 |
| #10600285 | 2 |
| #10600279 | 2 |
| C5×#1303 | 2 |
| #10501 | 5 |