Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
404 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 53. C5×#101 | Q8 | semidirect |
| 59. #3968 | Q8 | semidirect |
| 217. #101 | Dic10 | semidirect |
| 343. C5 | #13301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10608275 | 2 |
| #10600890 | 2 |
| Dic5×#101 | 2 |
| C5×#1394 | 2 |
| #10598190 | 2 |
| #10598135 | 2 |
| #13301 | 5 |