Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 1. C2×C5×#498 | C2 | semidirect |
| 4. #10598211 | C2 | semidirect |
| 5. #10598149 | C2 | semidirect |
| 28. C2×Dic20 | Q8 | semidirect |
| 31. C2×D40 | Q8 | semidirect |
| 43. C2×#498 | D5 | semidirect |
| 218. C5 | #13371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#498 | 2 |
| C2×#64708 | 2 |
| #10600588 | 2 |
| #10598211 | 2 |
| #10598149 | 2 |
| #13371 | 5 |