Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 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. C2×#11758481 | C2 | semidirect |
| 2. #14521490 | C2 | semidirect |
| 3. #14521489 | C2 | semidirect |
| 4. #14521485 | C2 | semidirect |
| 5. #14521484 | C2 | semidirect |
| 6. #14521479 | C2 | semidirect |
| 7. C2×#11758400 | C2 | semidirect |
| 8. C2×C31×#135 | C2 | semidirect |
| 14. C31×#135 | C22 | semidirect |
| 15. C2×Q16×C31 | C22 | semidirect |
| 17. C2×D8×C31 | C22 | semidirect |
| 19. C2×Dic124 | C22 | semidirect |
| 23. #11758481 | C22 | semidirect |
| 24. C2×D248 | C22 | semidirect |
| 26. #11758417 | C22 | semidirect |
| 27. #11758416 | C22 | semidirect |
| 28. #11758415 | C22 | semidirect |
| 29. #11758414 | C22 | semidirect |
| 30. #11758400 | C22 | semidirect |
| 31. #11758400 | C22 | semidirect |
| 32. C2×C31⋊C16 | C22 | semidirect |
| 116. C2×#135 | D31 | semidirect |
| 138. #135 | C2×D31 | semidirect |
| 140. C2×Q16 | C2×D31 | semidirect |
| 144. C2×D8 | C2×D31 | semidirect |
| 153. C31 | #3414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| #14521490 | 2 |
| #14521489 | 2 |
| #14521485 | 2 |
| #14521484 | 2 |
| #14521479 | 2 |
| C2×#11758400 | 2 |
| C2×C31×#135 | 2 |
| #3414 | 31 |