Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #31823832 | C2 | semidirect |
| 3. #31823823 | C2 | semidirect |
| 4. #31823822 | C2 | semidirect |
| 5. #31823204 | C2 | semidirect |
| 6. #31823202 | C2 | semidirect |
| 7. #329×C281 | C2 | semidirect |
| 96. C281 | #1662 | semidirect |
| 104. #329 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824207 | 2 |
| #31823832 | 2 |
| #31823823 | 2 |
| #31823822 | 2 |
| #31823204 | 2 |
| #31823202 | 2 |
| #329×C281 | 2 |
| #1662 | 281 |