Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
314 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #31800479 | C2 | semidirect |
| 4. C2×#22579798 | C2 | semidirect |
| 5. #31799759 | C2 | semidirect |
| 6. #31799758 | C2 | semidirect |
| 10. #22579878 | C4 | semidirect |
| 11. #22579867 | C4 | semidirect |
| 109. C277 | #1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800573 | 2 |
| #31800479 | 2 |
| #31800019 | 2 |
| C2×#22579798 | 2 |
| #31799759 | 2 |
| #31799758 | 2 |
| #421×C277 | 2 |
| #1912 | 277 |