Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
336 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11758398 | C2 | semidirect |
| 4. C2×C4×C31⋊C8 | C2 | semidirect |
| 5. C31×#382 | C2 | semidirect |
| 13. #11758452 | C4 | semidirect |
| 78. #382 | D31 | semidirect |
| 96. C31 | #1958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758452 | 2 |
| C2×#11758398 | 2 |
| C2×#11758397 | 2 |
| C2×C4×C31⋊C8 | 2 |
| C31×#382 | 2 |
| #1958 | 31 |