Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
284 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 5. C31×C4⋊Q8 | C4 | semidirect |
| 6. C31×#125 | C4 | semidirect |
| 29. C4×Dic31 | Q8 | semidirect |
| 64. C4⋊Q8 | Dic31 | semidirect |
| 65. #125 | Dic31 | semidirect |
| 73. C31 | #1994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521073 | 2 |
| C42×Dic31 | 2 |
| #14520808 | 2 |
| C31×#533 | 2 |
| #1994 | 31 |