Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
308 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. C2×#11758412 | C2 | semidirect |
| 5. C2×#11758412 | C2 | semidirect |
| 6. #14520819 | C2 | semidirect |
| 7. C31×#344 | C2 | semidirect |
| 110. #344 | D31 | semidirect |
| 134. C31 | #1915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521815 | 2 |
| #14521625 | 2 |
| #14521031 | 2 |
| C2×#11758412 | 2 |
| #14520819 | 2 |
| C31×#344 | 2 |
| #1915 | 31 |