Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 2. C2×#11758423 | C2 | semidirect |
| 4. #14520811 | C2 | semidirect |
| 9. C31×C22⋊Q8 | C4 | semidirect |
| 76. C22×C31 | #103 | semidirect |
| 106. C22⋊Q8 | Dic31 | semidirect |
| 114. C31 | #1892 | semidirect |
| 170. C22 | #11758423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C31⋊C8 | 2 |
| C2×#11758423 | 2 |
| #14520909 | 2 |
| #14520811 | 2 |
| C2×C31×C22⋊Q8 | 2 |
| #1892 | 31 |