Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #31823505 | C2 | semidirect |
| 5. #31823418 | C2 | semidirect |
| 6. #31823231 | C2 | semidirect |
| 7. #341×C281 | C2 | semidirect |
| 18. #22582795 | C4 | semidirect |
| 100. C281 | #1931 | semidirect |
| 108. #341 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823505 | 2 |
| #31823469 | 2 |
| C2×#22582801 | 2 |
| C2×#22582795 | 2 |
| #31823418 | 2 |
| #31823231 | 2 |
| #341×C281 | 2 |
| #1931 | 281 |