Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
272 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 17. C5×#367 | C4 | semidirect |
| 18. C5×#366 | C4 | semidirect |
| 95. #367 | Dic5 | semidirect |
| 96. #366 | Dic5 | semidirect |
| 223. C5 | #13118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2159 | 2 |
| #10601453 | 2 |
| #10601406 | 2 |
| #10598307 | 2 |
| #10598302 | 2 |
| #10598217 | 2 |
| #10598214 | 2 |
| #13118 | 5 |