Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×#11758446 | C2 | semidirect |
| 5. #14521057 | C2 | semidirect |
| 6. C2×#11758412 | C2 | semidirect |
| 7. C31×#339 | C2 | semidirect |
| 127. #339 | D31 | semidirect |
| 154. C31 | #2005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758486 | 2 |
| #14521625 | 2 |
| C2×#11758446 | 2 |
| C2×#11758393 | 2 |
| #14521057 | 2 |
| C2×#11758412 | 2 |
| C31×#339 | 2 |
| #2005 | 31 |