Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #31823501 | C2 | semidirect |
| 3. #31823291 | C2 | semidirect |
| 4. #31823289 | C2 | semidirect |
| 5. #31823265 | C2 | semidirect |
| 6. #31823265 | C2 | semidirect |
| 7. C22⋊C16×C281 | C2 | semidirect |
| 69. C281 | #2234 | semidirect |
| 77. C22⋊C16 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823699 | 2 |
| #31823501 | 2 |
| #31823291 | 2 |
| #31823289 | 2 |
| #31823265 | 2 |
| C22⋊C16×C281 | 2 |
| #2234 | 281 |