Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
260 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 184. C5 | #9636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10604020 | 2 |
| #10603818 | 2 |
| #10603810 | 2 |
| #10599320 | 2 |
| #10598592 | 2 |
| #9636 | 5 |