Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
332 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×C16×Dic5 | C2 | semidirect |
| 4. #10601455 | C2 | semidirect |
| 6. C5×#1382 | C2 | semidirect |
| 7. #10598219 | C2 | semidirect |
| 21. #64712 | C4 | semidirect |
| 22. #64711 | C4 | semidirect |
| 60. #1382 | D5 | semidirect |
| 256. C5 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64730 | 2 |
| C2×C16×Dic5 | 2 |
| #10601489 | 2 |
| #10601455 | 2 |
| #10601444 | 2 |
| C5×#1382 | 2 |
| #10598219 | 2 |
| #13151 | 5 |