Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
150 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 3. #31823841 | C2 | semidirect |
| 5. #31823283 | C2 | semidirect |
| 6. #31823278 | C2 | semidirect |
| 7. #362×C281 | C2 | semidirect |
| 72. C281 | #2214 | semidirect |
| 80. #362 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823906 | 2 |
| #31823904 | 2 |
| #31823841 | 2 |
| #31823579 | 2 |
| #31823283 | 2 |
| #31823278 | 2 |
| #362×C281 | 2 |
| #2214 | 281 |