Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
350 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. #14521866 | C2 | semidirect |
| 2. #14521490 | C2 | semidirect |
| 3. #14521489 | C2 | semidirect |
| 4. #14521479 | C2 | semidirect |
| 5. C2×#11758417 | C2 | semidirect |
| 6. #14521466 | C2 | semidirect |
| 7. C31×#578 | C2 | semidirect |
| 71. #578 | D31 | semidirect |
| 97. C31 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521866 | 2 |
| #14521490 | 2 |
| #14521489 | 2 |
| #14521479 | 2 |
| C2×#11758417 | 2 |
| #14521466 | 2 |
| C31×#578 | 2 |
| #3417 | 31 |