Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
752 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 341 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 |
|---|---|---|
| 3. #14520900 | C2 | semidirect |
| 5. #14520895 | C2 | semidirect |
| 6. C42×Dic31 | C2 | semidirect |
| 7. C31×#376 | C2 | semidirect |
| 18. #11758449 | C4 | semidirect |
| 19. C42×D31 | C4 | semidirect |
| 34. C42×C31 | C2×C4 | semidirect |
| 36. Dic31⋊C4 | C2×C4 | semidirect |
| 40. C4×Dic31 | C2×C4 | semidirect |
| 58. C4×D31 | C42 | semidirect |
| 71. Dic31 | #117 | semidirect |
| 77. #376 | D31 | semidirect |
| 97. C31 | C4×#117 | semidirect |
| 116. C42 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758449 | 2 |
| C2×C42×D31 | 2 |
| #14520900 | 2 |
| #14520896 | 2 |
| #14520895 | 2 |
| C42×Dic31 | 2 |
| C31×#376 | 2 |
| C4×#117 | 31 |