Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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. #107×D31 | C2 | semidirect |
| 3. #14520875 | C2 | semidirect |
| 4. #14520874 | C2 | semidirect |
| 5. #14520850 | C2 | semidirect |
| 6. (C2×D31)⋊C16 | C2 | semidirect |
| 7. C31×#357 | C2 | semidirect |
| 71. #357 | D31 | semidirect |
| 89. C31 | #2232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521282 | 2 |
| #107×D31 | 2 |
| #14520875 | 2 |
| #14520874 | 2 |
| #14520850 | 2 |
| (C2×D31)⋊C16 | 2 |
| C31×#357 | 2 |
| #2232 | 31 |