Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
182 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14521126 | C2 | semidirect |
| 3. #14521114 | C2 | semidirect |
| 4. #14520776 | C2 | semidirect |
| 5. #14520776 | C2 | semidirect |
| 6. #14520771 | C2 | semidirect |
| 7. C31×#334 | C2 | semidirect |
| 52. D124 | M16 | semidirect |
| 82. #334 | D31 | semidirect |
| 106. C31 | #1586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D248 | 2 |
| #14521126 | 2 |
| #14521114 | 2 |
| #14520776 | 2 |
| #14520771 | 2 |
| C31×#334 | 2 |
| #1586 | 31 |