Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14521335 | C2 | semidirect |
| 5. #14521334 | C2 | semidirect |
| 6. #14521256 | C2 | semidirect |
| 8. #14521156 | C2 | semidirect |
| 9. #14521153 | C2 | semidirect |
| 11. C31×#462 | C2 | semidirect |
| 135. #462 | D31 | semidirect |
| 175. C31 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| C4×Q8×D31 | 2 |
| #14521378 | 2 |
| #14521335 | 2 |
| #14521334 | 2 |
| #14521256 | 2 |
| #14521203 | 2 |
| #14521156 | 2 |
| #14521153 | 2 |
| #14521105 | 2 |
| C31×#462 | 2 |
| #3113 | 31 |