Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
186 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 19. #11758396 | C4 | semidirect |
| 20. #11758396 | C4 | semidirect |
| 21. #11758395 | C4 | semidirect |
| 22. #11758395 | C4 | semidirect |
| 111. C31 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521085 | 2 |
| #14521004 | 2 |
| #14520813 | 2 |
| #14520810 | 2 |
| #14520808 | 2 |
| #14520803 | 2 |
| C31×#424 | 2 |
| #1922 | 31 |