Finite Group DatabasebetaFinite Group DatabasebetaOrder 32128.
476 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 9. #95×C251 | C4 | semidirect |
| 75. C251 | #1443 | semidirect |
| 85. #95 | Dic251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C251⋊#95 | 2 |
| C2×#95×C251 | 2 |
| #1443 | 251 |