Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
524 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #14520933 | C2 | semidirect |
| 4. C4×Dic31⋊C4 | C2 | semidirect |
| 6. #14520895 | C2 | semidirect |
| 7. C43×C31 | C2 | semidirect |
| 18. #11758449 | C4 | semidirect |
| 78. C43 | D31 | semidirect |
| 97. C31 | #2298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758449 | 2 |
| #14520940 | 2 |
| #14520933 | 2 |
| C4×Dic31⋊C4 | 2 |
| C4×(C2×D31)⋊C4 | 2 |
| #14520895 | 2 |
| C43×C31 | 2 |
| #2298 | 31 |