Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
380 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 107 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×#11758404 | C2 | semidirect |
| 4. C2×#11758398 | C2 | semidirect |
| 6. #14520811 | C2 | semidirect |
| 7. C31×#340 | C2 | semidirect |
| 22. #11758474 | C4 | semidirect |
| 114. C2×D31 | #103 | semidirect |
| 130. #340 | D31 | semidirect |
| 157. C31 | #1892 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D31 | 2 |
| C2×#11758474 | 2 |
| C2×#11758404 | 2 |
| C2×#11758398 | 2 |
| #14520906 | 2 |
| #14520811 | 2 |
| C31×#340 | 2 |
| #1892 | 31 |