Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
204 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 53 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. #31823839 | C2 | semidirect |
| 2. #31823659 | C2 | semidirect |
| 3. #31823655 | C2 | semidirect |
| 4. #31823528 | C2 | semidirect |
| 5. #31823215 | C2 | semidirect |
| 6. #31823206 | C2 | semidirect |
| 7. #331×C281 | C2 | semidirect |
| 52. D1124 | D8 | semidirect |
| 58. #14555886 | D8 | semidirect |
| 92. C281 | #1667 | semidirect |
| 100. #331 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823839 | 2 |
| #31823659 | 2 |
| #31823655 | 2 |
| #31823528 | 2 |
| #31823215 | 2 |
| #31823206 | 2 |
| #331×C281 | 2 |
| #1667 | 281 |