Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
298 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 19. #22579805 | C4 | semidirect |
| 57. Dic554 | C4⋊C4 | semidirect |
| 109. C277 | #1863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic554 | 2 |
| C2×#22579814 | 2 |
| C2×#22579805 | 2 |
| #31799900 | 2 |
| #31799765 | 2 |
| #336×C277 | 2 |
| #1863 | 277 |