Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic62 | C2 | semidirect |
| 3. #14521399 | C2 | semidirect |
| 5. #14521334 | C2 | semidirect |
| 7. #14521256 | C2 | semidirect |
| 8. #14521180 | C2 | semidirect |
| 9. #14521154 | C2 | semidirect |
| 157. C31 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic62 | 2 |
| #14521408 | 2 |
| #14521399 | 2 |
| #14521339 | 2 |
| #14521334 | 2 |
| #14521268 | 2 |
| #14521256 | 2 |
| #14521180 | 2 |
| #14521154 | 2 |
| C4×#92480 | 2 |
| C31×#556 | 2 |
| #3369 | 31 |