Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
330 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 13. #170⋊C8 | C4 | semidirect |
| 159. C5 | #8139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10604689 | 2 |
| #10600542 | 2 |
| #10598773 | 2 |
| #10598695 | 2 |
| #8139 | 5 |