Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
194 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 53 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. #31800352 | C2 | semidirect |
| 4. #31799747 | C2 | semidirect |
| 5. Q8⋊#14555660 | C2 | semidirect |
| 7. #477×C277 | C2 | semidirect |
| 86. C277 | #1638 | semidirect |
| 90. #477 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800725 | 2 |
| #31800352 | 2 |
| #31800289 | 2 |
| #31799747 | 2 |
| Q8⋊#14555660 | 2 |
| #31799729 | 2 |
| #477×C277 | 2 |
| #1638 | 277 |