Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14521077 | C2 | semidirect |
| 4. C2×#11758391 | C2 | semidirect |
| 5. #14520813 | C2 | semidirect |
| 6. #14520809 | C2 | semidirect |
| 16. #11758423 | C4 | semidirect |
| 17. #11758420 | C4 | semidirect |
| 111. C31 | #1938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521077 | 2 |
| #14521045 | 2 |
| #14521016 | 2 |
| C2×#11758391 | 2 |
| #14520813 | 2 |
| #14520809 | 2 |
| C2×C31×#104 | 2 |
| #1938 | 31 |