Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
272 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 18. #11758403 | C4 | semidirect |
| 19. Dic31⋊C8 | C4 | semidirect |
| 65. C31⋊C8 | C4⋊C4 | semidirect |
| 105. C31 | #1771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic31⋊C8 | 2 |
| C2×#11758403 | 2 |
| C2×C4×C31⋊C8 | 2 |
| C4×Dic31⋊C4 | 2 |
| #14520803 | 2 |
| C31×#336 | 2 |
| #1771 | 31 |