Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14521097 | C2 | semidirect |
| 5. #14520821 | C2 | semidirect |
| 6. #14520809 | C2 | semidirect |
| 7. C4×M16×C31 | C2 | semidirect |
| 18. #11758412 | C4 | semidirect |
| 19. #11758411 | C4 | semidirect |
| 95. C4×M16 | D31 | semidirect |
| 118. C31 | #1932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521097 | 2 |
| #14521065 | 2 |
| C2×#11758393 | 2 |
| #14521031 | 2 |
| #14520821 | 2 |
| #14520809 | 2 |
| C4×M16×C31 | 2 |
| #1932 | 31 |