Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. C5×#1487 | C2 | semidirect |
| 4. #10602415 | C2 | semidirect |
| 6. #10598229 | C2 | semidirect |
| 7. #10598204 | C2 | semidirect |
| 71. #1487 | D5 | semidirect |
| 342. C5 | #9483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614232 | 2 |
| #10611017 | 2 |
| C5×#1487 | 2 |
| #10602415 | 2 |
| #10601320 | 2 |
| #10598229 | 2 |
| #10598204 | 2 |
| #9483 | 5 |