Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
202 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #31799749 | C2 | semidirect |
| 5. #31799748 | C2 | semidirect |
| 6. #31799747 | C2 | semidirect |
| 7. #332×C277 | C2 | semidirect |
| 86. C277 | #1544 | semidirect |
| 94. #332 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800557 | 2 |
| #31800054 | 2 |
| #31799749 | 2 |
| #31799748 | 2 |
| #31799747 | 2 |
| #332×C277 | 2 |
| #1544 | 277 |