Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
456 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 177 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×#11758484 | C2 | semidirect |
| 3. #14521170 | C2 | semidirect |
| 4. #14521165 | C2 | semidirect |
| 5. #14521065 | C2 | semidirect |
| 6. #14521007 | C2 | semidirect |
| 7. C31×#430 | C2 | semidirect |
| 13. #11758486 | C4 | semidirect |
| 14. #11758485 | C4 | semidirect |
| 17. #11758484 | C22 | semidirect |
| 18. #11758484 | C22 | semidirect |
| 22. C31×#108 | C22 | semidirect |
| 23. #11758413 | C22 | semidirect |
| 24. #11758403 | C22 | semidirect |
| 25. C8×Dic31 | C22 | semidirect |
| 90. #430 | D31 | semidirect |
| 111. #108 | C2×D31 | semidirect |
| 115. C31 | #2955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521849 | 2 |
| C2×#11758484 | 2 |
| #14521170 | 2 |
| #14521165 | 2 |
| #14521065 | 2 |
| #14521007 | 2 |
| C31×#430 | 2 |
| #2955 | 31 |