Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
364 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 268. C5 | #8879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610776 | 2 |
| C5×#1571 | 2 |
| #10601585 | 2 |
| #10601262 | 2 |
| #10601222 | 2 |
| #10598232 | 2 |
| #10598206 | 2 |
| #8879 | 5 |