Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #14521774 | C2 | semidirect |
| 3. #14521440 | C2 | semidirect |
| 4. #14521269 | C2 | semidirect |
| 5. #14521256 | C2 | semidirect |
| 6. #14521252 | C2 | semidirect |
| 8. #14521179 | C2 | semidirect |
| 9. #14521150 | C2 | semidirect |
| 10. C4×Dic124 | C2 | semidirect |
| 162. C31 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521785 | 2 |
| #14521774 | 2 |
| #14521440 | 2 |
| #14521269 | 2 |
| #14521256 | 2 |
| #14521252 | 2 |
| #14521246 | 2 |
| #14521179 | 2 |
| #14521150 | 2 |
| C4×Dic124 | 2 |
| C31×#492 | 2 |
| #3400 | 31 |