Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
172 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 19. #11758391 | C4 | semidirect |
| 20. C4×C31⋊C8 | C4 | semidirect |
| 99. C31 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758410 | 2 |
| #14521085 | 2 |
| #14521005 | 2 |
| #14520821 | 2 |
| #14520819 | 2 |
| #14520805 | 2 |
| C31×H(3,ℤ/4) | 2 |
| #1833 | 31 |