Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
196 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 12. #22579815 | C4 | semidirect |
| 84. C277 | #1952 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579815 | 2 |
| #31800044 | 2 |
| #31800042 | 2 |
| C2×#22579813 | 2 |
| #31799960 | 2 |
| #31799770 | 2 |
| #343×C277 | 2 |
| #1952 | 277 |