Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 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 |
|---|---|---|
| 2. #31823663 | C2 | semidirect |
| 3. #31823594 | C2 | semidirect |
| 4. #31823213 | C2 | semidirect |
| 5. #31823207 | C2 | semidirect |
| 6. #31823206 | C2 | semidirect |
| 7. #460×C281 | C2 | semidirect |
| 52. #14555886 | SD16 | semidirect |
| 86. C281 | #1688 | semidirect |
| 90. #460 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823839 | 2 |
| #31823663 | 2 |
| #31823594 | 2 |
| #31823213 | 2 |
| #31823207 | 2 |
| #31823206 | 2 |
| #460×C281 | 2 |
| #1688 | 281 |