Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14521176 | C2 | semidirect |
| 4. #14520779 | C2 | semidirect |
| 6. #14520770 | C2 | semidirect |
| 7. C31×#335 | C2 | semidirect |
| 57. C8×C31 | M16 | semidirect |
| 77. #335 | D31 | semidirect |
| 100. C31 | #1592 | semidirect |
| 138. C8 | #92469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521176 | 2 |
| C4×#92470 | 2 |
| #14521126 | 2 |
| #14520779 | 2 |
| #14520776 | 2 |
| #14520770 | 2 |
| C31×#335 | 2 |
| #1592 | 31 |