Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
314 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 3. #10602220 | C2 | semidirect |
| 5. #10600622 | C2 | semidirect |
| 6. C5×#1377 | C2 | semidirect |
| 7. #10598311 | C2 | semidirect |
| 20. #64737 | C4 | semidirect |
| 21. #64736 | C4 | semidirect |
| 62. #1377 | D5 | semidirect |
| 258. C5 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602243 | 2 |
| #10602235 | 2 |
| #10602220 | 2 |
| #10600638 | 2 |
| #10600622 | 2 |
| C5×#1377 | 2 |
| #10598311 | 2 |
| #13140 | 5 |