Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
326 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. C2×#11758446 | C2 | semidirect |
| 4. #14520812 | C2 | semidirect |
| 5. C31×#336 | C2 | semidirect |
| 26. C2×D124 | Q8 | semidirect |
| 93. #336 | 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×#11758446 | 2 |
| C2×#11758409 | 2 |
| #14520951 | 2 |
| #14520812 | 2 |
| C31×#336 | 2 |
| #2023 | 31 |