Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
172 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 15. #11758403 | C4 | semidirect |
| 16. C8×Dic31 | C4 | semidirect |
| 82. C31 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758407 | 2 |
| #14521004 | 2 |
| #14520819 | 2 |
| #14520805 | 2 |
| C31×#427 | 2 |
| #1833 | 31 |