Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
408 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 14. #125×C277 | C4 | semidirect |
| 61. C277 | #2382 | semidirect |
| 68. #125 | Dic277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31799901 | 2 |
| #31799888 | 2 |
| #31799868 | 2 |
| C2×#125×C277 | 2 |
| #2382 | 277 |