Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
326 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14520811 | C2 | semidirect |
| 4. #14520804 | C2 | semidirect |
| 5. C2×C31×C4⋊Q8 | C2 | semidirect |
| 29. C2×D124 | Q8 | semidirect |
| 89. C2×C4⋊Q8 | D31 | semidirect |
| 113. C31 | #2023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758397 | 2 |
| #14520951 | 2 |
| #14520811 | 2 |
| #14520804 | 2 |
| C2×C31×C4⋊Q8 | 2 |
| #2023 | 31 |