Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
580 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #10598137 | C2 | semidirect |
| 5. C23×C5×Q8 | C4 | semidirect |
| 8. C5×#395 | C4 | semidirect |
| 13. C5×#380 | C4 | semidirect |
| 99. C23×Q8 | Dic5 | semidirect |
| 104. #395 | Dic5 | semidirect |
| 110. #380 | Dic5 | semidirect |
| 312. C5 | #11898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2409 | 2 |
| #10602412 | 2 |
| #10602394 | 2 |
| #10598137 | 2 |
| #11898 | 5 |