Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521777 | C2 | semidirect |
| 3. #14521400 | C2 | semidirect |
| 4. #14521398 | C2 | semidirect |
| 5. #14521334 | C2 | semidirect |
| 6. #14521333 | C2 | semidirect |
| 9. C8×Dic62 | C2 | semidirect |
| 95. Dic62 | SD16 | semidirect |
| 159. C31 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521777 | 2 |
| D4×Dic62 | 2 |
| #14521400 | 2 |
| #14521398 | 2 |
| #14521334 | 2 |
| #14521333 | 2 |
| #14521254 | 2 |
| #14521252 | 2 |
| C8×Dic62 | 2 |
| #14521140 | 2 |
| C4×SD16×C31 | 2 |
| #3359 | 31 |