Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14521167 | C2 | semidirect |
| 3. #14520879 | C2 | semidirect |
| 4. #14520857 | C2 | semidirect |
| 5. C4×C16×C31 | C2 | semidirect |
| 13. Dic248 | C4 | semidirect |
| 14. #11758388 | C4 | semidirect |
| 15. D496 | C4 | semidirect |
| 51. C4×C16 | D31 | semidirect |
| 65. C31 | #2178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521481 | 2 |
| #14521167 | 2 |
| #14520879 | 2 |
| #14520857 | 2 |
| C4×C16×C31 | 2 |
| #2178 | 31 |