Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
232 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 15. #11758410 | C4 | semidirect |
| 18. #11758396 | C4 | semidirect |
| 19. #11758395 | C4 | semidirect |
| 22. C4×C31⋊C8 | C4 | semidirect |
| 102. C31 | #1772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758410 | 2 |
| #14521085 | 2 |
| #14521007 | 2 |
| #14521005 | 2 |
| C2×C4×C31⋊C8 | 2 |
| #14520809 | 2 |
| C31×#339 | 2 |
| #1772 | 31 |