Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
698 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 156 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 |
|---|---|---|
| 316. C5 | #11345 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617052 | 2 |
| C2×#65696 | 2 |
| C2×#64867 | 2 |
| #10604223 | 2 |
| #10599744 | 2 |
| #11345 | 5 |