Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14521815 | C2 | semidirect |
| 3. #14521172 | C2 | semidirect |
| 4. #14521167 | C2 | semidirect |
| 5. #14521098 | C2 | semidirect |
| 6. C2×#11758393 | C2 | semidirect |
| 7. C4×M16×C31 | C2 | semidirect |
| 13. #11758486 | C4 | semidirect |
| 14. #11758485 | C4 | semidirect |
| 18. #11758478 | C22 | semidirect |
| 19. C31×#97 | C22 | semidirect |
| 20. C4×C8×C31 | C22 | semidirect |
| 21. #11758407 | C22 | semidirect |
| 22. #11758393 | C22 | semidirect |
| 23. #11758393 | C22 | semidirect |
| 44. Dic124 | C2×C4 | semidirect |
| 45. D248 | C2×C4 | semidirect |
| 46. #92470 | C2×C4 | semidirect |
| 88. C4×M16 | D31 | semidirect |
| 107. #97 | C2×D31 | semidirect |
| 108. C4×C8 | C2×D31 | semidirect |
| 109. C31 | #2956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521849 | 2 |
| #14521815 | 2 |
| #14521172 | 2 |
| #14521167 | 2 |
| #14521098 | 2 |
| C2×#11758393 | 2 |
| C4×M16×C31 | 2 |
| #2956 | 31 |