Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
480 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 38. C2×#689 | C8 | semidirect |
| 324. C5 | #9088 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617093 | 2 |
| C2×#65078 | 2 |
| #10604976 | 2 |
| #10604967 | 2 |
| #10604271 | 2 |
| #10598774 | 2 |
| #10598773 | 2 |
| #9088 | 5 |