Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
186 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 186 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. C31×#107 | C4 | semidirect |
| 16. C31×#107 | C4 | semidirect |
| 17. C31×#106 | C4 | semidirect |
| 18. C31×#106 | C4 | semidirect |
| 103. #107 | Dic31 | semidirect |
| 104. #107 | Dic31 | semidirect |
| 105. #106 | Dic31 | semidirect |
| 106. #106 | Dic31 | semidirect |
| 111. C31 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521076 | 2 |
| #14521005 | 2 |
| #14520814 | 2 |
| #14520808 | 2 |
| #14520803 | 2 |
| C31×#427 | 2 |
| #1922 | 31 |