Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
752 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 197 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×#11758524 | C2 | semidirect |
| 3. #14520950 | C2 | semidirect |
| 4. C42×Dic31 | C2 | semidirect |
| 5. C2×C31×C4⋊Q8 | C2 | semidirect |
| 32. C4×Dic31 | D4 | semidirect |
| 56. C4×C31 | #124 | semidirect |
| 59. C2×C4⋊Q8 | D31 | semidirect |
| 79. C31 | #2858 | semidirect |
| 120. C4 | #11758524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758451 | 2 |
| C2×#11758524 | 2 |
| #14520950 | 2 |
| C42×Dic31 | 2 |
| C2×C31×C4⋊Q8 | 2 |
| #2858 | 31 |