Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
262 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #14520809 | C2 | semidirect |
| 4. #14520805 | C2 | semidirect |
| 10. C31×#117 | C4 | semidirect |
| 12. C2×C42×C31 | C4 | semidirect |
| 91. #117 | Dic31 | semidirect |
| 93. C2×C42 | Dic31 | semidirect |
| 98. C31 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521033 | 2 |
| #14521023 | 2 |
| #14520809 | 2 |
| #14520805 | 2 |
| C4×#41×C31 | 2 |
| #1827 | 31 |