Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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. Q8×Dic62 | C2 | semidirect |
| 4. #14521399 | C2 | semidirect |
| 6. #14521332 | C2 | semidirect |
| 8. #14521176 | C2 | semidirect |
| 9. #14521156 | C2 | semidirect |
| 11. C31×#462 | C2 | semidirect |
| 120. #462 | D31 | semidirect |
| 157. C31 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic62 | 2 |
| #14521773 | 2 |
| #14521410 | 2 |
| #14521399 | 2 |
| #14521340 | 2 |
| #14521332 | 2 |
| #14521273 | 2 |
| #14521176 | 2 |
| #14521156 | 2 |
| C4×#92481 | 2 |
| C31×#462 | 2 |
| #3369 | 31 |