Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
460 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 97 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. C5×#1567 | C2 | semidirect |
| 3. #10601320 | C2 | semidirect |
| 4. #10601296 | C2 | semidirect |
| 5. #10600528 | C2 | semidirect |
| 6. C2×#64679 | C2 | semidirect |
| 7. #10598202 | C2 | semidirect |
| 72. #1567 | D5 | semidirect |
| 369. C5 | #10456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610786 | 2 |
| C5×#1567 | 2 |
| #10601320 | 2 |
| #10601296 | 2 |
| #10600528 | 2 |
| C2×#64679 | 2 |
| #10598202 | 2 |
| #10456 | 5 |