Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
332 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14521106 | C2 | semidirect |
| 3. #14520792 | C2 | semidirect |
| 4. C31×#432 | C2 | semidirect |
| 13. C31×C4⋊C8 | C22 | semidirect |
| 17. C4⋊(C31⋊C8) | C22 | semidirect |
| 77. #432 | D31 | semidirect |
| 93. C4⋊C8 | C2×D31 | semidirect |
| 98. C31 | #1555 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758451 | 2 |
| #14521106 | 2 |
| #14520792 | 2 |
| C31×#432 | 2 |
| #1555 | 31 |