Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521411 | C2 | semidirect |
| 3. #14521401 | C2 | semidirect |
| 4. #14521397 | C2 | semidirect |
| 5. #14521048 | C2 | semidirect |
| 6. C4×#92474 | C2 | semidirect |
| 7. C2×C31×C4⋊Q8 | C2 | semidirect |
| 97. C2×C4⋊Q8 | D31 | semidirect |
| 129. C31 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521599 | 2 |
| #14521411 | 2 |
| #14521401 | 2 |
| #14521397 | 2 |
| #14521048 | 2 |
| C4×#92474 | 2 |
| C2×C31×C4⋊Q8 | 2 |
| #3141 | 31 |