Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
680 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
| 10. C5×#393 | C4 | semidirect |
| 13. C2×C5×#95 | C4 | semidirect |
| 102. C23×Q8 | Dic5 | semidirect |
| 108. #393 | Dic5 | semidirect |
| 112. C2×#95 | Dic5 | semidirect |
| 341. C5 | #11808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#393 | 2 |
| #10602335 | 2 |
| #10602332 | 2 |
| #10598137 | 2 |
| #11808 | 5 |