Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
232 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
| 13. #22579813 | C4 | semidirect |
| 14. #22579811 | C4 | semidirect |
| 18. C4×#14555660 | C4 | semidirect |
| 79. C277 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579815 | 2 |
| #31800038 | 2 |
| #31799960 | 2 |
| #31799958 | 2 |
| C2×C4×#14555660 | 2 |
| #31799762 | 2 |
| #339×C277 | 2 |
| #1772 | 277 |