Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 83 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×#11758484 | C2 | semidirect |
| 3. #14521048 | C2 | semidirect |
| 4. C2×#11758397 | C2 | semidirect |
| 5. C2×#11758411 | C2 | semidirect |
| 6. #14520813 | C2 | semidirect |
| 7. C31×#343 | C2 | semidirect |
| 16. #11758485 | C4 | semidirect |
| 122. #343 | D31 | semidirect |
| 151. C31 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758485 | 2 |
| C2×#11758484 | 2 |
| #14521048 | 2 |
| C2×#11758397 | 2 |
| C2×#11758411 | 2 |
| #14520813 | 2 |
| C31×#343 | 2 |
| #1907 | 31 |