Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
300 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. #14520812 | C2 | semidirect |
| 5. #14520811 | C2 | semidirect |
| 6. #14520811 | C2 | semidirect |
| 7. C31×#340 | C2 | semidirect |
| 19. #11758469 | C4 | semidirect |
| 117. #340 | D31 | semidirect |
| 140. C31 | #1825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758469 | 2 |
| C2×(C2×D31)⋊C8 | 2 |
| #14520906 | 2 |
| #14520812 | 2 |
| #14520811 | 2 |
| C31×#340 | 2 |
| #1825 | 31 |