Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521677 | C2 | semidirect |
| 3. #14521416 | C2 | semidirect |
| 4. #14521407 | C2 | semidirect |
| 5. #14521402 | C2 | semidirect |
| 6. #14521398 | C2 | semidirect |
| 7. #14521057 | C2 | semidirect |
| 9. C2×#11758404 | C2 | semidirect |
| 10. #14521004 | C2 | semidirect |
| 168. C31 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521620 | 2 |
| #14521416 | 2 |
| #14521407 | 2 |
| #14521402 | 2 |
| #14521398 | 2 |
| #14521057 | 2 |
| #14521050 | 2 |
| C2×#11758404 | 2 |
| #14521004 | 2 |
| C31×#416 | 2 |
| #3137 | 31 |