Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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×#367 | C2 | semidirect |
| 4. #10598299 | C2 | semidirect |
| 5. #10598214 | C2 | semidirect |
| 35. C2×#367 | D5 | semidirect |
| 168. C5 | #13496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#367 | 2 |
| #10602202 | 2 |
| #10601439 | 2 |
| #10598299 | 2 |
| #10598214 | 2 |
| #13496 | 5 |